cos ⁡ ( 5 π 6 ) = \cos\left(\frac{5\pi}{6}\right)= cos ( 6 5 π ) =

− cos ⁡ ( π 6 ) -\cos\left(\frac{\pi}{6}\right) − cos ( 6 π )

cos ⁡ ( π − π 6 ) \cos\left(\pi-\frac{\pi}{6}\right) cos ( π − 6 π )

cos ⁡ ( π 6 ) \cos\left(\frac{\pi}{6}\right) cos ( 6 π )

cos ⁡ ( π + π 6 ) \cos\left(\pi+\frac{\pi}{6}\right) cos ( π + 6 π )

sin ⁡ ( 3 π 4 ) = \sin\left(\frac{3\pi}{4}\right)= sin ( 4 3 π ) =

sin ⁡ ( π − π 4 ) \sin\left(\pi-\frac{\pi}{4}\right) sin ( π − 4 π )

sin ⁡ ( π 4 ) \sin\left(\frac{\pi}{4}\right) sin ( 4 π )

− sin ⁡ ( π 4 ) -\sin\left(\frac{\pi}{4}\right) − sin ( 4 π )

sin ⁡ ( π + π 4 ) \sin\left(\pi+\frac{\pi}{4}\right) sin ( π + 4 π )

sin ⁡ ( 2 π − α ) = \sin\left(2\pi-\alpha\right)= sin ( 2 π − α ) =

− sin ⁡ α -\sin\alpha − sin α

sin ⁡ ( π − α ) \sin\left(\pi-\alpha\right) sin ( π − α )

tan ⁡ ( 3 π − 4 α ) = \tan\left(3\pi-4\alpha\right)= tan ( 3 π − 4 α ) =

− tan ⁡ ( 4 α ) -\tan\left(4\alpha\right) − tan ( 4 α )

tan ⁡ ( π − 4 α ) \tan\left(\pi-4\alpha\right) tan ( π − 4 α )

tan ⁡ ( 4 α ) \tan\left(4\alpha\right) tan ( 4 α )

4 tan ⁡ α 4\tan\alpha 4 tan α

cos ⁡ ( 3 π 2 + α ) = \cos\left(\frac{3\pi}{2}+\alpha\right)= cos ( 2 3 π + α ) =

− sin ⁡ α -\sin\alpha − sin α

− cos ⁡ α -\cos\alpha − cos α

sin ⁡ ( 11 π 3 ) = \sin\left(\frac{11\pi}{3}\right)= sin ( 3 1 1 π ) =

− 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">

tan ⁡ ( 17 π 6 ) = \tan\left(\frac{17\pi}{6}\right)= tan ( 6 1 7 π ) =

− 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">

− 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">

cos ⁡ ( 7 π 4 ) = \cos\left(\frac{7\pi}{4}\right)= cos ( 4 7 π ) =

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 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">

Trigonometria - Reduções

Authored by Ana Mota

Mathematics

11th - 12th Grade

Used 8+ times

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11 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\cos\left(11\pi\right)=$

$-1$

$1$

$0$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\cos\left(26\pi\right)=$

$-1$

$1$

$0$

MULTIPLE SELECT QUESTION

1 min • 1 pt

$\cos\left(\frac{5\pi}{6}\right)=$

$\cos\left(\frac{\pi}{6}\right)$

$-\cos\left(\frac{\pi}{6}\right)$

$\cos\left(\pi-\frac{\pi}{6}\right)$

$\cos\left(\pi+\frac{\pi}{6}\right)$

MULTIPLE SELECT QUESTION

1 min • 1 pt

$\sin\left(\frac{3\pi}{4}\right)=$

$\sin\left(\frac{\pi}{4}\right)$

$-\sin\left(\frac{\pi}{4}\right)$

$\sin\left(\pi-\frac{\pi}{4}\right)$

$\sin\left(\pi+\frac{\pi}{4}\right)$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\sin\left(\frac{15\pi}{2}\right)=$

$-1$

$1$

$0$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\sin\left(2\pi-\alpha\right)=$

$-\sin\alpha$

$\sin\alpha$

$\sin\left(\pi-\alpha\right)$

$\cos\alpha$

MULTIPLE SELECT QUESTION

1 min • 1 pt

$\tan\left(3\pi-4\alpha\right)=$

$-\tan\left(4\alpha\right)$

$\tan\left(\pi-4\alpha\right)$

$\tan\left(4\alpha\right)$

$4\tan\alpha$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\cos\left(\frac{3\pi}{2}+\alpha\right)=$

$\sin\alpha$

$\cos\alpha$

$-\sin\alpha$

$-\cos\alpha$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\sin\left(\frac{11\pi}{3}\right)=$

$-\frac{1}{2}$

$-\frac{\sqrt{3}}{2}$

$\frac{1}{2}$

$\frac{\sqrt{3}}{2}$

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\tan\left(\frac{17\pi}{6}\right)=$

$-\frac{\sqrt{3}}{3}$

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

$\sqrt{3}$

$-\sqrt{3}$

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Trigonometria - Reduções

cos⁡(11π)=\cos\left(11\pi\right)=cos(11π)=

cos⁡(26π)=\cos\left(26\pi\right)=cos(26π)=

cos⁡(5π6)=\cos\left(\frac{5\pi}{6}\right)=cos(65π​)=

sin⁡(3π4)=\sin\left(\frac{3\pi}{4}\right)=sin(43π​)=

sin⁡(15π2)=\sin\left(\frac{15\pi}{2}\right)=sin(215π​)=

sin⁡(2π−α)=\sin\left(2\pi-\alpha\right)=sin(2π−α)=

tan⁡(3π−4α)=\tan\left(3\pi-4\alpha\right)=tan(3π−4α)=

cos⁡(3π2+α)=\cos\left(\frac{3\pi}{2}+\alpha\right)=cos(23π​+α)=

sin⁡(11π3)=\sin\left(\frac{11\pi}{3}\right)=sin(311π​)=

tan⁡(17π6)=\tan\left(\frac{17\pi}{6}\right)=tan(617π​)=

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$\cos\left(11\pi\right)=$

$\cos\left(26\pi\right)=$

$\cos\left(\frac{5\pi}{6}\right)=$

$\sin\left(\frac{3\pi}{4}\right)=$

$\sin\left(\frac{15\pi}{2}\right)=$

$\sin\left(2\pi-\alpha\right)=$

$\tan\left(3\pi-4\alpha\right)=$

$\cos\left(\frac{3\pi}{2}+\alpha\right)=$

$\sin\left(\frac{11\pi}{3}\right)=$

$\tan\left(\frac{17\pi}{6}\right)=$