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

sin ⁡ α cos ⁡ β + sin ⁡ β cos ⁡ α \sin\alpha\ \cos\beta+\sin\beta\ \cos\alpha sin α cos β + sin β cos α

sin ⁡ α cos ⁡ β − sin ⁡ β cos ⁡ α \sin\alpha\ \cos\beta-\sin\beta\ \cos\alpha sin α cos β − sin β cos α

cos ⁡ α c o β + sin ⁡ α sin ⁡ β \cos\alpha\ co\beta\ +\sin\alpha\ \sin\ \beta cos α c o β + sin α sin β

cos ⁡ α c o β − sin ⁡ α sin ⁡ β \cos\alpha\ co\beta\ -\sin\alpha\ \sin\ \beta cos α c o β − sin α sin β

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

sin ⁡ α cos ⁡ β − sin ⁡ β cos ⁡ α \sin\alpha\ \cos\beta-\sin\beta\ \cos\alpha sin α cos β − sin β cos α

sin ⁡ α cos ⁡ β + sin ⁡ β cos ⁡ α \sin\alpha\ \cos\beta+\sin\beta\ \cos\alpha sin α cos β + sin β cos α

cos ⁡ α c o β + sin ⁡ α sin ⁡ β \cos\alpha\ co\beta\ +\sin\alpha\ \sin\ \beta cos α c o β + sin α sin β

cos ⁡ α c o β − sin ⁡ α sin ⁡ β \cos\alpha\ co\beta\ -\sin\alpha\ \sin\ \beta cos α c o β − sin α sin β

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

cos ⁡ α c o β + sin ⁡ α sin ⁡ β \cos\alpha\ co\beta\ +\sin\alpha\ \sin\ \beta cos α c o β + sin α sin β

sin ⁡ α cos ⁡ β + sin ⁡ β cos ⁡ α \sin\alpha\ \cos\beta+\sin\beta\ \cos\alpha sin α cos β + sin β cos α

sin ⁡ α cos ⁡ β − sin ⁡ β cos ⁡ α \sin\alpha\ \cos\beta-\sin\beta\ \cos\alpha sin α cos β − sin β cos α

cos ⁡ α c o β − sin ⁡ α sin ⁡ β \cos\alpha\ co\beta\ -\sin\alpha\ \sin\ \beta cos α c o β − sin α sin β

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

cos ⁡ α c o β − sin ⁡ α sin ⁡ β \cos\alpha\ co\beta\ -\sin\alpha\ \sin\ \beta cos α c o β − sin α sin β

sin ⁡ α cos ⁡ β + sin ⁡ β cos ⁡ α \sin\alpha\ \cos\beta+\sin\beta\ \cos\alpha sin α cos β + sin β cos α

sin ⁡ α cos ⁡ β − sin ⁡ β cos ⁡ α \sin\alpha\ \cos\beta-\sin\beta\ \cos\alpha sin α cos β − sin β cos α

cos ⁡ α c o β + sin ⁡ α sin ⁡ β \cos\alpha\ co\beta\ +\sin\alpha\ \sin\ \beta cos α c o β + sin α sin β

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

tan ⁡ α + tan ⁡ β 1 − tan ⁡ α tan ⁡ β \frac{\tan\alpha+\tan\beta}{1-\tan\alpha\tan\beta} 1 − tan α tan β tan α + tan β

tan ⁡ α + tan ⁡ β 1 + tan ⁡ α tan ⁡ β \frac{\tan\alpha+\tan\beta}{1+\tan\alpha\tan\beta} 1 + tan α tan β tan α + tan β

tan ⁡ α − tan ⁡ β 1 − tan ⁡ α tan ⁡ β \frac{\tan\alpha-\tan\beta}{1-\tan\alpha\tan\beta} 1 − tan α tan β tan α − tan β

tan ⁡ α − tan ⁡ β 1 + tan ⁡ α tan ⁡ β \frac{\tan\alpha-\tan\beta}{1+\tan\alpha\tan\beta} 1 + tan α tan β tan α − tan β

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

tan ⁡ α − tan ⁡ β 1 + tan ⁡ α tan ⁡ β \frac{\tan\alpha-\tan\beta}{1+\tan\alpha\tan\beta} 1 + tan α tan β tan α − tan β

tan ⁡ α + tan ⁡ β 1 + tan ⁡ α tan ⁡ β \frac{\tan\alpha+\tan\beta}{1+\tan\alpha\tan\beta} 1 + tan α tan β tan α + tan β

tan ⁡ α − tan ⁡ β 1 − tan ⁡ α tan ⁡ β \frac{\tan\alpha-\tan\beta}{1-\tan\alpha\tan\beta} 1 − tan α tan β tan α − tan β

tan ⁡ α + tan ⁡ β 1 − tan ⁡ α tan ⁡ β \frac{\tan\alpha+\tan\beta}{1-\tan\alpha\tan\beta} 1 − tan α tan β tan α + tan β

cos ⁡ 80 ° cos ⁡ 20 ° + sin ⁡ 80 ° sin ⁡ 20 ° \cos80\degree\cos20\degree+\sin80\degree\sin20\degree cos 8 0 ° cos 2 0 ° + sin 8 0 ° sin 2 0 ° Вычислите:

3 2 \frac{\sqrt{3}}{2} 2 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 ⁡ 100 ° \cos\ 100\degree cos 1 0 0 °

2 2 \frac{\sqrt{2}}{2} 2 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">

cos ⁡ 12 ° cos ⁡ 18 ° − sin ⁡ 12 ° sin ⁡ 18 ° \cos12\degree\cos18\degree-\sin12\degree\sin18\degree cos 1 2 ° cos 1 8 ° − sin 1 2 ° sin 1 8 ° Вычислите:

3 2 \frac{\sqrt{3}}{2} 2 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 ⁡ 6 ° \cos\ 6\degree cos 6 °

2 2 \frac{\sqrt{2}}{2} 2 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">

sin ⁡ 80 ° cos ⁡ 20 ° + cos ⁡ 80 ° sin ⁡ 20 ° \sin80\degree\cos20\degree+\cos80\degree\sin20\degree sin 8 0 ° cos 2 0 ° + cos 8 0 ° sin 2 0 ° Вычислите:

sin ⁡ 100 ° \sin\ 100\degree sin 1 0 0 °

3 2 \frac{\sqrt{3}}{2} 2 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">

2 2 \frac{\sqrt{2}}{2} 2 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">

sin ⁡ 88 ° cos ⁡ 28 ° − cos ⁡ 88 ° sin ⁡ 28 ° \sin88\degree\cos28\degree-\cos88\degree\sin28\degree sin 8 8 ° cos 2 8 ° − cos 8 8 ° sin 2 8 ° Вычислите:

3 2 \frac{\sqrt{3}}{2} 2 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 ⁡ 116 ° \sin\ 116\degree sin 1 1 6 °

2 2 \frac{\sqrt{2}}{2} 2 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">

Вычисли tan ⁡ 31 ° + tan ⁡ 14 ° 1 − tan ⁡ 31 ° tan ⁡ 14 ° \frac{\tan31\degree+\tan14\degree}{1-\tan31\degree\tan14\degree} 1 − tan 3 1 ° tan 1 4 ° tan 3 1 ° + tan 1 4 °

3 \sqrt{3} 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">

3 3 \frac{\sqrt{3}}{3} 3 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">

Вычислите, не пользуясь калькулятором sin ⁡ 105 ° = \sin\ 105\degree= sin 1 0 5 ° =

6 + 2 4 \frac{\sqrt{6}+\sqrt{2}}{4} 4 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">

2 2 \frac{\sqrt{2}}{2} 2 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">

2 − 6 4 \frac{\sqrt{2}-\sqrt{6}}{4} 4 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">

3 4 \frac{\sqrt{3}}{4} 4 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">

Вычислите, не пользуясь калькулятором cos ⁡ 105 ° = \cos\ 105\degree= cos 1 0 5 ° =

2 − 6 4 \frac{\sqrt{2}-\sqrt{6}}{4} 4 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">

6 + 2 4 \frac{\sqrt{6}+\sqrt{2}}{4} 4 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">

2 2 \frac{\sqrt{2}}{2} 2 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">

3 4 \frac{\sqrt{3}}{4} 4 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">

Вычисли sin ⁡ 15 ° cos ⁡ 15 ° \sin15\degree\cos15\degree sin 1 5 ° cos 1 5 °

3 2 \frac{\sqrt{3}}{2} 2 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">

Основные тригонометрические формулы

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Основные тригонометрические формулы

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Mathematics

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10th Grade

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Practice Problem

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Jaana Pitšugina

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$\frac{\tan\alpha-\tan\beta}{1+\tan\alpha\tan\beta}$

$\frac{\tan\alpha+\tan\beta}{1-\tan\alpha\tan\beta}$

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Основные тригонометрические формулы

20 questions

$\sin\left(\alpha+\beta\right)=$

$\sin\left(\alpha-\beta\right)=$

$\cos\left(\alpha-\beta\right)=$

$\cos\left(\alpha+\beta\right)=$

$\sin2\alpha=$

$\cos2\alpha=$

$\tan\left(\alpha+\beta\right)=$

$\tan\left(\alpha-\beta\right)=$

$\tan\ 2\alpha=$

$\cos80\degree\cos20\degree+\sin80\degree\sin20\degree$ Вычислите:

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Основные тригонометрические формулы

20 questions

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

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

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

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

sin⁡2α=\sin2\alpha=sin2α=

cos⁡2α=\cos2\alpha=cos2α=

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

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

tan⁡ 2α=\tan\ 2\alpha=tan 2α=

cos⁡80°cos⁡20°+sin⁡80°sin⁡20°\cos80\degree\cos20\degree+\sin80\degree\sin20\degreecos80°cos20°+sin80°sin20° Вычислите:

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$\sin\left(\alpha+\beta\right)=$

$\sin\left(\alpha-\beta\right)=$

$\cos\left(\alpha-\beta\right)=$

$\cos\left(\alpha+\beta\right)=$

$\sin2\alpha=$

$\cos2\alpha=$

$\tan\left(\alpha+\beta\right)=$

$\tan\left(\alpha-\beta\right)=$

$\tan\ 2\alpha=$

$\cos80\degree\cos20\degree+\sin80\degree\sin20\degree$ Вычислите: