Nilai sin ⁡ 3 x \sin\ 3x sin 3 x adalah ...

sin ⁡ 2 x cos ⁡ x + cos ⁡ 2 x sin ⁡ x \sin\ 2x\ \cos\ x\ +\cos\ 2x\ \sin\ x sin 2 x cos x + cos 2 x sin x

sin ⁡ x cos ⁡ 2 x + cos ⁡ x sin ⁡ x \sin\ x\ \cos\ 2x\ +\cos\ x\ \sin\ x sin x cos 2 x + cos x sin x

sin ⁡ 2 x cos ⁡ x − cos ⁡ 2 x sin ⁡ x \sin\ 2x\ \cos\ x\ -\cos\ 2x\ \sin\ x sin 2 x cos x − cos 2 x sin x

sin ⁡ x cos ⁡ 2 x − cos ⁡ x sin ⁡ x \sin\ x\ \cos\ 2x-\cos\ x\ \sin\ x sin x cos 2 x − cos x sin x

Nilai dari cos ⁡ 15 ° \cos15\degree cos 1 5 ° adalah ...

1 4 ( 2 + 6 ) \frac{1}{4}\left(\sqrt{2}+\sqrt{6}\right) 4 1 ( 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> )

1 4 ( 6 − 2 ) \frac{1}{4}\left(\sqrt{6}-\sqrt{2}\right) 4 1 ( 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> )

1 4 ( − 2 − 6 ) \frac{1}{4}\left(-\sqrt{2}-\sqrt{6}\right) 4 1 ( − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> )

1 2 ( 2 + 6 ) \frac{1}{2}\left(\sqrt{2}+\sqrt{6}\right) 2 1 ( 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> )

1 2 ( 6 − 2 ) \frac{1}{2}\left(\sqrt{6}-\sqrt{2}\right) 2 1 ( 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> )

Diketahui sin ⁡ x = 3 5 \sin x=\frac{3}{5} sin x = 5 3 dengan sudut x adalah lancip. Nilai dari sin ⁡ 2 x \sin2x sin 2 x adalah...

− 25 24 -\frac{25}{24} − 2 4 2 5

− 24 25 -\frac{24}{25} − 2 5 2 4

S e d e r h a n a k a n cos ⁡ ( p + 90 ° ) Sederhanakan\ \cos\ \left(p+90\degree\right) S e d e r h a n a k a n cos ( p + 9 0 ° )

− sin ⁡ p -\sin\ p − sin p

− cos ⁡ p -\cos\ p − cos p

cos ⁡ ( x + 30 ° ) = . . . . \cos\left(x+30\degree\right)=.... cos ( x + 3 0 ° ) = . . . .

1 2 ( 3 cos ⁡ x − sin ⁡ x ) \frac{1}{2}\left(\sqrt{3}\cos x-\sin x\right) 2 1 ( 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> cos x − sin x )

1 2 ( 3 cos ⁡ x + sin ⁡ x ) \frac{1}{2}\left(\sqrt{3}\cos x+\sin x\right) 2 1 ( 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> cos x + sin x )

1 2 ( cos ⁡ x − 3 sin ⁡ x ) \frac{1}{2}\left(\cos x-\sqrt{3}\sin x\right) 2 1 ( cos x − 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> sin x )

1 2 ( cos ⁡ x + 3 sin ⁡ x ) \frac{1}{2}\left(\cos x+\sqrt{3}\sin x\right) 2 1 ( cos x + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> sin x )

Diketahui sin ⁡ α = 1 5 13 , α \sin\alpha=\frac{1}{5}\sqrt{13},\ \alpha sin α = 5 1 1 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> , α sudut lancip. Nilai dari cos ⁡ 2 α = . . . \cos2\alpha=... cos 2 α = . . .

− 1 25 -\frac{1}{25} − 2 5 1

Rumus sinus jumlah dua sudut...

sin ⁡ ( α + β ) = sin ⁡ α cos ⁡ β + cos ⁡ α sin ⁡ β \sin\ \left(\alpha+\beta\right)=\sin\ \alpha\ \cos\ \beta+\cos\ \alpha\ \sin\ \beta sin ( α + β ) = sin α cos β + cos α sin β

sin ⁡ ( α − β ) = sin ⁡ α cos ⁡ β − cos ⁡ α sin ⁡ β \sin\ \left(\alpha-\beta\right)=\sin\alpha\ \cos\ \beta-\cos\ \alpha\ \sin\ \beta sin ( α − β ) = sin α cos β − cos α sin β

sin ⁡ ( α + β ) = sin ⁡ α cos ⁡ β − cos ⁡ α sin ⁡ β \sin\ \left(\alpha+\beta\right)=\sin\ \alpha\ \cos\ \beta-\cos\ \alpha\ \sin\ \beta sin ( α + β ) = sin α cos β − cos α sin β

sin ⁡ ( α − β ) = sin ⁡ α cos ⁡ β + cos ⁡ α sin ⁡ β \sin\ \left(\alpha-\beta\right)=\sin\ \alpha\ \cos\ \beta+\cos\ \alpha\ \sin\ \beta sin ( α − β ) = sin α cos β + cos α sin β

Rumus tangen jumlah dua sudut...

tan ⁡ ( α + β ) = tan ⁡ α + tan ⁡ β 1 − tan ⁡ α tan ⁡ β \tan\ \left(\alpha+\beta\right)=\frac{\tan\ \alpha+\tan\ \beta}{1-\tan\ \alpha\ \tan\ \beta} tan ( α + β ) = 1 − tan α tan β tan α + tan β

tan ⁡ ( α + β ) = tan ⁡ α − tan ⁡ β 1 + tan ⁡ α tan ⁡ β \tan\ \left(\alpha+\beta\right)=\frac{\tan\ \alpha-\tan\ \beta}{1+\tan\ \alpha\ \tan\ \beta} tan ( α + β ) = 1 + tan α tan β tan α − tan β

tan ⁡ ( α + β ) = tan ⁡ β + tan ⁡ α 1 + tan ⁡ α tan ⁡ β \tan\ \left(\alpha+\beta\right)=\frac{\tan\beta+\tan\ \alpha\ }{1+\tan\ \alpha\ \tan\ \beta} tan ( α + β ) = 1 + tan α tan β tan β + tan α

tan ⁡ ( α − β ) = tan ⁡ α − tan ⁡ β 1 + tan ⁡ α tan ⁡ β \tan\ \left(\alpha-\beta\right)=\frac{\tan\ \alpha-\tan\ \beta}{1+\tan\ \alpha\ \tan\ \beta} tan ( α − β ) = 1 + tan α tan β tan α − tan β

Nilai dari sin ⁡ 4 5 o cos ⁡ 1 5 o = . . . . . . \sin\ 45^o\ \cos15^o=...... sin 4 5 o cos 1 5 o = . . . . . .

1 4 ( 3 + 1 ) \frac{1}{4}\left(\sqrt{3}+1\right) 4 1 ( 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 1 )

1 4 ( 3 − 1 ) \frac{1}{4}\left(\sqrt{3}-1\right) 4 1 ( 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 1 )

1 4 ( 1 − 3 ) \frac{1}{4}\left(1-\sqrt{3}\right) 4 1 ( 1 − 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> )

1 2 ( 3 − 1 ) \frac{1}{2}\left(\sqrt{3}-1\right) 2 1 ( 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 1 )

2 sin ⁡ x cos ⁡ 3 x = . . . . . 2\sin x\cos3x=..... 2 sin x cos 3 x = . . . . .

sin ⁡ 4 x − sin ⁡ 2 x \sin4x-\sin2x sin 4 x − sin 2 x

cos ⁡ 4 x − cos ⁡ 2 x \cos4x-\cos2x cos 4 x − cos 2 x

cos ⁡ 4 x + cos ⁡ 2 x \cos4x+\cos2x cos 4 x + cos 2 x

sin ⁡ 4 x + sin ⁡ 2 x \sin4x+\sin2x sin 4 x + sin 2 x

sin ⁡ 2 x − sin ⁡ 4 x \sin2x-\sin4x sin 2 x − sin 4 x

sin ⁡ 6 5 o sin ⁡ 5 o \sin65^o\sin5^o sin 6 5 o sin 5 o dapat disederhanakan menjadi ....

1 2 ( 1 2 − cos ⁡ 7 0 o ) \frac{1}{2}\left(\frac{1}{2}-\cos70^o\right) 2 1 ( 2 1 − cos 7 0 o )

1 2 ( cos ⁡ 7 0 o − 1 2 ) \frac{1}{2}\left(\cos70^o-\frac{1}{2}\right) 2 1 ( cos 7 0 o − 2 1 )

1 2 ( sin ⁡ 7 0 o − 1 2 3 ) \frac{1}{2}\left(\sin70^o-\frac{1}{2}\sqrt{3}\right) 2 1 ( sin 7 0 o − 2 1 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> )

1 2 ( 1 2 3 − sin ⁡ 7 0 o ) \frac{1}{2}\left(\frac{1}{2}\sqrt{3}-\sin70^o\right) 2 1 ( 2 1 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − sin 7 0 o )

cos ⁡ 7 0 o − 1 2 \cos70^o-\frac{1}{2} cos 7 0 o − 2 1

2 sin ⁡ 60 ° sin ⁡ 20 ° = . . . . . . 2\ \sin\ 60\degree\ \sin\ 20\degree\ =\ ...... 2 sin 6 0 ° sin 2 0 ° = . . . . . .

cos ⁡ 40 ° − cos ⁡ 80 ° \cos\ 40\degree\ -\ \cos\ 80\degree cos 4 0 ° − cos 8 0 °

cos ⁡ 40 ° \cos\ 40\degree cos 4 0 °

cos ⁡ 80 ° − cos ⁡ 40 ° \cos\ 80\degree-\cos\ 40\degree cos 8 0 ° − cos 4 0 °

cos ⁡ 0 ° \cos\ 0\degree cos 0 °

sin ⁡ 7 a ° − sin ⁡ 3 a ° = . . . . \sin\ 7a\degree\ -\ \sin\ 3a\degree=.... sin 7 a ° − sin 3 a ° = . . . .

2 cos ⁡ 5 a ° sin ⁡ 2 a ° 2\ \cos\ 5a\degree\ \sin\ 2a\degree 2 cos 5 a ° sin 2 a °

sin ⁡ 2 a ° \sin\ 2a\degree sin 2 a °

2 sin ⁡ a ° cos ⁡ a ° 2\ \sin\ a\degree\ \cos\ a\degree 2 sin a ° cos a °

cos ⁡ 5 a ° sin ⁡ 2 a ° \cos\ 5a\degree\ \sin\ 2a\degree cos 5 a ° sin 2 a °

cos ⁡ 130 ° + cos ⁡ 110 ° + cos ⁡ 10 ° = . . . . \cos\ 130\degree+\cos\ 110\degree+\cos\ 10\degree=.... cos 1 3 0 ° + cos 1 1 0 ° + cos 1 0 ° = . . . .

cos ⁡ 130 ° \cos\ 130\degree cos 1 3 0 °

cos ⁡ 10 ° \cos\ 10\degree cos 1 0 °

Sederhanakan bentuk sin ⁡ ( π 3 + p ) cos ⁡ ( π 6 − p ) + cos ⁡ ( π 3 + p ) sin ⁡ ( π 6 − p ) = . . . \sin\left(\frac{\pi}{3}+p\right)\cos\left(\frac{\pi}{6}-p\right)+\cos\left(\frac{\pi}{3}+p\right)\sin\left(\frac{\pi}{6}-p\right)=... sin ( 3 π + p ) cos ( 6 π − p ) + cos ( 3 π + p ) sin ( 6 π − p ) = . . .

π 2 3 \frac{\pi}{2}\sqrt{3} 2 π 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

π 2 2 \frac{\pi}{2}\sqrt{2} 2 π 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

RUMUS JUMLAH DAN SELISIH SINUS DAN COSINUS

Authored by Primateana Ayu

Mathematics, Fun

11th - 12th Grade

CCSS covered

Used 97+ times

RUMUS JUMLAH DAN SELISIH SINUS DAN COSINUS

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21 questions

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MULTIPLE CHOICE QUESTION

10 sec • 1 pt

Nilai $\sin\ 2x\ \cos\ 3x\ +\cos\ 2x\ \sin\ 3x$ sama dengan nilai ...

$\sin\ x$

$\sin\ 5x$

$\sin\ 7x$

$\sin\ 3x$

$\sin\ 6x$

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

Nilai $\sin\ 3x$ adalah ...

$\sin\ 2x\ \cos\ x\ +\cos\ 2x\ \sin\ x$

$\sin\ x\ \cos\ 2x\ +\cos\ x\ \sin\ x$

$\sin\ 2x\ \cos\ x\ -\cos\ 2x\ \sin\ x$

$\sin\ x\ \cos\ 2x-\cos\ x\ \sin\ x$

$3\ \sin\ x$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Diketahui $\left(A+B\right)=\frac{\pi}{3}$ dan $\sin\ A\ \sin\ B\ =\frac{1}{4}$ . Nilai dari $\cos\ \left(A-B\right)$ adalah ...

$-1$

$-\frac{1}{2}$

$\frac{1}{2}$

$\frac{3}{4}$

$1$

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Jika $\tan\ A=\frac{1}{3}$ maka nilai $\frac{\tan\left(\frac{\pi}{4}-A\right)}{\tan\left(\frac{\pi}{4}+A\right)}$ adalah ...

$1$

$\frac{3}{4}$

$\frac{2}{3}$

$\frac{1}{3}$

$\frac{1}{4}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Nilai dari $\cos15\degree$ adalah ...

$\frac{1}{4}\left(\sqrt{6}-\sqrt{2}\right)$

$\frac{1}{4}\left(\sqrt{2}+\sqrt{6}\right)$

$\frac{1}{4}\left(-\sqrt{2}-\sqrt{6}\right)$

$\frac{1}{2}\left(\sqrt{2}+\sqrt{6}\right)$

$\frac{1}{2}\left(\sqrt{6}-\sqrt{2}\right)$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Diketahui $\sin x=\frac{3}{5}$ dengan sudut x adalah lancip. Nilai dari $\sin2x$ adalah...

$\frac{25}{24}$

$-\frac{25}{24}$

$-\frac{24}{25}$

$\frac{7}{25}$

$\frac{24}{25}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\frac{\tan\ 60\degree+\tan\ 30\degree}{1-\tan\ 60\degree\ \tan\ 30\degree}=...$

$\sqrt{3}$

$\frac{1}{3}\sqrt{3}$

$\infty$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$Sederhanakan\ \cos\ \left(p+90\degree\right)$

$-\cos\ p$

$\cos\ p$

$\sin\ p$

$-\sin\ p$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\cos\left(x+30\degree\right)=....$

$\frac{1}{2}\left(\sqrt{3}\cos x+\sin x\right)$

$\frac{1}{2}\left(\sqrt{3}\cos x-\sin x\right)$

$\frac{1}{2}\left(\cos x-\sqrt{3}\sin x\right)$

$\frac{1}{2}\left(\cos x+\sqrt{3}\sin x\right)$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Diketahui $\sin\alpha=\frac{1}{5}\sqrt{13},\ \alpha$ sudut lancip. Nilai dari $\cos2\alpha=...$

$-\frac{1}{25}$

-1

$-\frac{1}{2}$

$-\frac{1}{5}$

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RUMUS JUMLAH DAN SELISIH SINUS DAN COSINUS

Nilai sin⁡ 2x cos⁡ 3x +cos⁡ 2x sin⁡ 3x\sin\ 2x\ \cos\ 3x\ +\cos\ 2x\ \sin\ 3xsin 2x cos 3x +cos 2x sin 3x sama dengan nilai ...

Nilai sin⁡ 3x\sin\ 3xsin 3x adalah ...

Diketahui (A+B)=π3\left(A+B\right)=\frac{\pi}{3}(A+B)=3π​ dan sin⁡ A sin⁡ B =14\sin\ A\ \sin\ B\ =\frac{1}{4}sin A sin B =41​ . Nilai dari cos⁡ (A−B)\cos\ \left(A-B\right)cos (A−B) adalah ...

Jika tan⁡ A=13\tan\ A=\frac{1}{3}tan A=31​ maka nilai tan⁡(π4−A)tan⁡(π4+A)\frac{\tan\left(\frac{\pi}{4}-A\right)}{\tan\left(\frac{\pi}{4}+A\right)}tan(4π​+A)tan(4π​−A)​ adalah ...

Nilai dari cos⁡15°\cos15\degreecos15° adalah ...

Diketahui sin⁡x=35\sin x=\frac{3}{5}sinx=53​ dengan sudut x adalah lancip. Nilai dari sin⁡2x\sin2xsin2x adalah...

tan⁡ 60°+tan⁡ 30°1−tan⁡ 60° tan⁡ 30°=...\frac{\tan\ 60\degree+\tan\ 30\degree}{1-\tan\ 60\degree\ \tan\ 30\degree}=...1−tan 60° tan 30°tan 60°+tan 30°​=...

Sederhanakan cos⁡ (p+90°)Sederhanakan\ \cos\ \left(p+90\degree\right)Sederhanakan cos (p+90°)

cos⁡(x+30°)=....\cos\left(x+30\degree\right)=....cos(x+30°)=....

Diketahui sin⁡α=1513, α\sin\alpha=\frac{1}{5}\sqrt{13},\ \alphasinα=51​13​, α sudut lancip. Nilai dari cos⁡2α=...\cos2\alpha=...cos2α=...

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Nilai $\sin\ 2x\ \cos\ 3x\ +\cos\ 2x\ \sin\ 3x$ sama dengan nilai ...

Nilai $\sin\ 3x$ adalah ...

Diketahui $\left(A+B\right)=\frac{\pi}{3}$ dan $\sin\ A\ \sin\ B\ =\frac{1}{4}$ . Nilai dari $\cos\ \left(A-B\right)$ adalah ...

Jika $\tan\ A=\frac{1}{3}$ maka nilai $\frac{\tan\left(\frac{\pi}{4}-A\right)}{\tan\left(\frac{\pi}{4}+A\right)}$ adalah ...

Nilai dari $\cos15\degree$ adalah ...

Diketahui $\sin x=\frac{3}{5}$ dengan sudut x adalah lancip. Nilai dari $\sin2x$ adalah...

$\frac{\tan\ 60\degree+\tan\ 30\degree}{1-\tan\ 60\degree\ \tan\ 30\degree}=...$

$Sederhanakan\ \cos\ \left(p+90\degree\right)$

$\cos\left(x+30\degree\right)=....$

Diketahui $\sin\alpha=\frac{1}{5}\sqrt{13},\ \alpha$ sudut lancip. Nilai dari $\cos2\alpha=...$