Aprēķini! sin ⁡ ( − 30 ° ) = \sin\left(-30\degree\right)= sin ( − 3 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">

− 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">

Aprēķini! cos ⁡ ( − 30 ° ) = \cos\left(-30\degree\right)= cos ( − 3 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">

− 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">

Aprēķini! cos ⁡ 480 ° = \cos480\degree= cos 4 8 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">

− 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">

Aprēķini! t g ( − 60 ° ) = tg\left(-60\degree\right)= t g ( − 6 0 ° ) =

− 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">

− 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">

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">

Aprēķini! 4 sin ⁡ 60 ° ⋅ cos ⁡ 45 ° ⋅ t g 30 ° = 4\sin60\degree\cdot\cos45\degree\cdot tg30\degree= 4 sin 6 0 ° ⋅ cos 4 5 ° ⋅ t g 3 0 ° =

2 \sqrt{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 \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">

2 3 2\sqrt{3} 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">

3 2 3\sqrt{2} 3 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 ⁡ 170 ° > 0 \sin170\degree>0 sin 1 7 0 ° > 0

sin ⁡ 170 ° < 0 \sin170\degree<0 sin 1 7 0 ° < 0

ctg ⁡ 40 ° > 0 \operatorname{ctg}40\degree>0 c t g 4 0 ° > 0

ctg ⁡ 40 ° < 0 \operatorname{ctg}40\degree<0 c t g 4 0 ° < 0

cos ⁡ 320 ° > 0 \cos320\degree>0 cos 3 2 0 ° > 0

cos ⁡ 320 ° < 0 \cos320\degree<0 cos 3 2 0 ° < 0

t g ( − 200 ° ) < 0 tg\left(-200\degree\right)<0 t g ( − 2 0 0 ° ) < 0

t g ( − 200 ° ) > 0 tg\left(-200\degree\right)>0 t g ( − 2 0 0 ° ) > 0

sin ⁡ 5 π 3 < 0 \sin\frac{5\pi}{3}<0 sin 3 5 π < 0

sin ⁡ 5 π 3 > 0 \sin\frac{5\pi}{3}>0 sin 3 5 π > 0

Aizstāj doto izteiksmi ar leņķa α \alpha α trigonometrisko funkciju! cos ⁡ ( π 2 − α ) = \cos\left(\frac{\pi}{2}-\alpha\right)= cos ( 2 π − α ) =

− sin ⁡ α -\sin\alpha − sin α

− cos ⁡ α -\cos\alpha − cos α

Aizstāj doto izteiksmi ar leņķa α \alpha α trigonometrisko funkciju! sin ⁡ ( π − α ) = \sin\left(\pi-\alpha\right)= sin ( π − α ) =

− sin ⁡ α -\sin\alpha − sin α

− cos ⁡ α -\cos\alpha − cos α

Aizstāj doto izteiksmi ar leņķa α \alpha α trigonometrisko funkciju! t g ( 2 π − α ) = tg\left(2\pi-\alpha\right)= t g ( 2 π − α ) =

− t g α -tg\alpha − t g α

ctg ⁡ α \operatorname{ctg}\alpha c t g α

− ctg ⁡ α -\operatorname{ctg}\alpha − c t g α

Aizstāj doto izteiksmi ar leņķa α \alpha α trigonometrisko funkciju! ctg ⁡ ( 3 π 2 − α ) = \operatorname{ctg}\left(\frac{3\pi}{2}-\alpha\right)= c t g ( 2 3 π − α ) =

ctg ⁡ α \operatorname{ctg}\alpha c t g α

− t g α -tg\alpha − t g α

− ctg ⁡ α -\operatorname{ctg}\alpha − c t g α

Aizstāj doto izteiksmi ar leņķa α \alpha α trigonometrisko funkciju! sin ⁡ ( α − 270 ° ) = \sin\left(\alpha-270\degree\right)= sin ( α − 2 7 0 ° ) =

− sin ⁡ α -\sin\alpha − sin α

− cos ⁡ α -\cos\alpha − cos α

Aizstāj doto izteiksmi ar leņķa α \alpha α trigonometrisko funkciju! cos ⁡ ( 180 ° + α ) = \cos\left(180\degree+\alpha\right)= cos ( 1 8 0 ° + α ) =

− cos ⁡ α -\cos\alpha − cos α

− sin ⁡ α -\sin\alpha − sin α

Aizstāj doto izteiksmi ar leņķa α \alpha α trigonometrisko funkciju! ctg ⁡ ( 180 ° + α ) = \operatorname{ctg}\left(180\degree+\alpha\right)= c t g ( 1 8 0 ° + α ) =

ctg ⁡ α \operatorname{ctg}\alpha c t g α

− t g α -tg\alpha − t g α

− ctg ⁡ α -\operatorname{ctg}\alpha − c t g α

Aizstāj doto izteiksmi ar leņķa α \alpha α trigonometrisko funkciju! t g ( 90 ° + α ) = tg\left(90\degree+\alpha\right)= t g ( 9 0 ° + α ) =

− ctg ⁡ α -\operatorname{ctg}\alpha − c t g α

ctg ⁡ α \operatorname{ctg}\alpha c t g α

− t g α -tg\alpha − t g α

Uzraksti doto funkciju tā, lai tās arguments būtu pozitīvs un nepārsniegtu 45 ° 45\degree 4 5 ° ! sin ⁡ 50 ° = \sin50\degree= sin 5 0 ° =

cos ⁡ 40 ° \cos40\degree cos 4 0 °

sin ⁡ 40 ° \sin40\degree sin 4 0 °

− sin ⁡ 40 ° -\sin40\degree − sin 4 0 °

− cos ⁡ 40 ° -\cos40\degree − cos 4 0 °

Uzraksti doto funkciju tā, lai tās arguments būtu pozitīvs un nepārsniegtu 45 ° 45\degree 4 5 ° ! cos ⁡ 286 ° = \cos286\degree= cos 2 8 6 ° =

sin ⁡ 16 ° \sin16\degree sin 1 6 °

cos ⁡ 16 ° \cos16\degree cos 1 6 °

− sin ⁡ 16 ° -\sin16\degree − sin 1 6 °

− cos ⁡ 16 ° -\cos16\degree − cos 1 6 °

Uzraksti doto funkciju tā, lai tās arguments būtu pozitīvs un nepārsniegtu 45 ° 45\degree 4 5 ° ! t g 220 ° = tg220\degree= t g 2 2 0 ° =

t g 40 ° tg40\degree t g 4 0 °

ctg ⁡ 40 ° \operatorname{ctg}40\degree c t g 4 0 °

− t g 40 ° -tg40\degree − t g 4 0 °

− ctg ⁡ 40 ° -\operatorname{ctg}40\degree − c t g 4 0 °

Uzraksti doto funkciju tā, lai tās arguments būtu pozitīvs un nepārsniegtu 45 ° 45\degree 4 5 ° ! ctg ⁡ 164 ° = \operatorname{ctg}164\degree= c t g 1 6 4 ° =

− ctg ⁡ 16 ° -\operatorname{ctg}16\degree − c t g 1 6 °

t g 16 ° tg16\degree t g 1 6 °

ctg ⁡ 16 ° \operatorname{ctg}16\degree c t g 1 6 °

− t g 16 ° -tg16\degree − t g 1 6 °

Vienkāršo izteiksmi! sin ⁡ ( − x ) − cos ⁡ ( π 2 − x ) = \sin\left(-x\right)-\cos\left(\frac{\pi}{2}-x\right)= sin ( − x ) − cos ( 2 π − x ) =

− 2 sin ⁡ x -2\sin x − 2 sin x

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

Vienkāršo izteiksmi! cos ⁡ ( − β ) + cos ⁡ ( 180 ° + β ) = \cos\left(-\beta\right)+\cos\left(180\degree+\beta\right)= cos ( − β ) + cos ( 1 8 0 ° + β ) =

− 2 cos ⁡ β -2\cos\beta − 2 cos β

2 cos ⁡ β 2\cos\beta 2 cos β

cos ⁡ β + sin ⁡ β \cos\beta+\sin\beta cos β + sin β

Vienkāršo izteiksmi! sin ⁡ ( 180 ° − y ) ⋅ cos ⁡ y cos ⁡ ( 90 ° − y ) = \frac{\sin\left(180\degree-y\right)\cdot\cos y}{\cos\left(90\degree-y\right)}= cos ( 9 0 ° − y ) sin ( 1 8 0 ° − y ) ⋅ cos y =

− sin ⁡ y -\sin y − sin y

− cos ⁡ y -\cos y − cos y

REDUKCIJAS FORMULAS

Authored by Anda Verne

Mathematics

11th Grade

Used 76+ times

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Aprēķini!
$3\cos\pi+2\sin\frac{\pi}{2}-\operatorname{ctg}\frac{\pi}{4}=$

$0$

$2$

$4$

$-2$

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REDUKCIJAS FORMULAS

Izsaki radiānos! 20°=20\degree=20°=

Izsaki radiānos! 270°=270\degree=270°=

Izsaki grādos! π10=\frac{\pi}{10}=10π​=

Izsaki grādos! 7π6=\frac{7\pi}{6}=67π​=

Aprēķini! sin⁡(−30°)=\sin\left(-30\degree\right)=sin(−30°)=

Aprēķini! cos⁡(−30°)=\cos\left(-30\degree\right)=cos(−30°)=

Aprēķini! cos⁡480°=\cos480\degree=cos480°=

Aprēķini! tg(−60°)=tg\left(-60\degree\right)=tg(−60°)=

Aprēķini! 4sin⁡60°⋅cos⁡45°⋅tg30°=4\sin60\degree\cdot\cos45\degree\cdot tg30\degree=4sin60°⋅cos45°⋅tg30°=

Aprēķini! 3cos⁡π+2sin⁡π2−ctg⁡π4=3\cos\pi+2\sin\frac{\pi}{2}-\operatorname{ctg}\frac{\pi}{4}=3cosπ+2sin2π​−ctg4π​=

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Izsaki radiānos! $20\degree=$

Izsaki radiānos! $270\degree=$

Izsaki grādos! $\frac{\pi}{10}=$

Izsaki grādos! $\frac{7\pi}{6}=$

Aprēķini! $\sin\left(-30\degree\right)=$

Aprēķini! $\cos\left(-30\degree\right)=$

Aprēķini! $\cos480\degree=$

Aprēķini! $tg\left(-60\degree\right)=$

Aprēķini!
$4\sin60\degree\cdot\cos45\degree\cdot tg30\degree=$

Aprēķini!
$3\cos\pi+2\sin\frac{\pi}{2}-\operatorname{ctg}\frac{\pi}{4}=$