sin ⁡ − 1 ( − 1 ) \sin^{-1}\left(-1\right) sin − 1 ( − 1 )

− π 2 -\frac{\pi}{2} − 2 π

− 3 π 2 -\frac{3\pi}{2} − 2 3 π

arccos ⁡ ( − 3 2 ) \arccos\left(-\frac{\sqrt{3}}{2}\right) arccos ( − 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"> )

11 π 6 \frac{11\pi}{6} 6 1 1 π

arcsin ⁡ ( − 1 2 ) \arcsin\left(-\frac{1}{2}\right) arcsin ( − 2 1 )

− π 6 -\frac{\pi}{6} − 6 π

tan ⁡ − 1 ( 1 ) \tan^{-1}\left(1\right) tan − 1 ( 1 )

− π 4 -\frac{\pi}{4} − 4 π

arctan ⁡ ( − 3 3 ) \arctan\left(-\frac{\sqrt{3}}{3}\right) arctan ( − 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"> )

− π 6 -\frac{\pi}{6} − 6 π

− π 3 -\frac{\pi}{3} − 3 π

cos ⁡ − 1 ( 1 2 ) \cos^{-1}\left(\frac{1}{2}\right) cos − 1 ( 2 1 )

− π 3 -\frac{\pi}{3} − 3 π

− π 6 -\frac{\pi}{6} − 6 π

cos ⁡ ( arcsin ⁡ ( 2 2 ) ) \cos\left(\arcsin\left(\frac{\sqrt{2}}{2}\right)\right) cos ( arcsin ( 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">

− 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 ⁡ − 1 ( cos ⁡ ( π 3 ) ) \sin^{-1}\left(\cos\left(\frac{\pi}{3}\right)\right) sin − 1 ( cos ( 3 π ) )

− π 6 -\frac{\pi}{6} − 6 π

− π 3 -\frac{\pi}{3} − 3 π

tan ⁡ ( arccos ⁡ ( 3 2 ) ) \tan\left(\arccos\left(\frac{\sqrt{3}}{2}\right)\right) tan ( arccos ( 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 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 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 \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">

tan ⁡ ( arccos ⁡ ( 3 2 ) + π 3 ) \tan\left(\arccos\left(\frac{\sqrt{3}}{2}\right)+\frac{\pi}{3}\right) tan ( arccos ( 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 π )

u n d e f i n e d undefined u n d e f i n e d

− 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">

Inverse Trig Non Calculator

Authored by Veronica Meadows

Mathematics

10th - 12th Grade

CCSS covered

Used 15+ times

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14 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sin^{-1}\left(-1\right)$

$-\frac{\pi}{2}$

$\frac{\pi}{2}$

$\frac{3\pi}{2}$

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

$\pi$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\arccos\left(-\frac{\sqrt{3}}{2}\right)$

$\frac{5\pi}{6}$

$\frac{7\pi}{6}$

$\frac{\pi}{6}$

$\frac{11\pi}{6}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

$-\frac{\pi}{6}$

$\frac{\pi}{6}$

$\frac{5\pi}{6}$

$\frac{7\pi}{6}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\tan^{-1}\left(1\right)$

$\frac{\pi}{4}$

$-\frac{\pi}{4}$

$0$

undefined

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\arctan\left(-\frac{\sqrt{3}}{3}\right)$

$-\frac{\pi}{6}$

$\frac{\pi}{6}$

$\frac{\pi}{3}$

$-\frac{\pi}{3}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\cos^{-1}\left(\frac{1}{2}\right)$

$\frac{\pi}{3}$

$-\frac{\pi}{3}$

$\frac{\pi}{6}$

$-\frac{\pi}{6}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\cos\left(\arcsin\left(\frac{\sqrt{2}}{2}\right)\right)$

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

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

-1

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sin^{-1}\left(\cos\left(\frac{\pi}{3}\right)\right)$

$\frac{\pi}{6}$

$\frac{\pi}{3}$

$-\frac{\pi}{6}$

$-\frac{\pi}{3}$

Tags

CCSS.HSF.TF.B.7

FILL IN THE BLANKS QUESTION

1 min • 1 pt

$\cos^{-1}\left(\cos\left(90\degree\right)\right)$
Type your answer in degrees!

(a)

Tags

CCSS.HSF.BF.B.5

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\tan\left(\arccos\left(\frac{\sqrt{3}}{2}\right)\right)$

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

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

$\sqrt{3}$

Tags

CCSS.HSF-BF.B.4A

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Inverse Trig Non Calculator

sin⁡−1(−1)\sin^{-1}\left(-1\right)sin−1(−1)

arccos⁡(−32)\arccos\left(-\frac{\sqrt{3}}{2}\right)arccos(−23​​)

arcsin⁡(−12)\arcsin\left(-\frac{1}{2}\right)arcsin(−21​)

tan⁡−1(1)\tan^{-1}\left(1\right)tan−1(1)

arctan⁡(−33)\arctan\left(-\frac{\sqrt{3}}{3}\right)arctan(−33​​)

cos⁡−1(12)\cos^{-1}\left(\frac{1}{2}\right)cos−1(21​)

cos⁡(arcsin⁡(22))\cos\left(\arcsin\left(\frac{\sqrt{2}}{2}\right)\right)cos(arcsin(22​​))

sin⁡−1(cos⁡(π3))\sin^{-1}\left(\cos\left(\frac{\pi}{3}\right)\right)sin−1(cos(3π​))

cos⁡−1(cos⁡(90°))\cos^{-1}\left(\cos\left(90\degree\right)\right)cos−1(cos(90°)) Type your answer in degrees! (a)

tan⁡(arccos⁡(32))\tan\left(\arccos\left(\frac{\sqrt{3}}{2}\right)\right)tan(arccos(23​​))

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$\sin^{-1}\left(-1\right)$

$\arccos\left(-\frac{\sqrt{3}}{2}\right)$

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

$\tan^{-1}\left(1\right)$

$\arctan\left(-\frac{\sqrt{3}}{3}\right)$

$\cos^{-1}\left(\frac{1}{2}\right)$

$\cos\left(\arcsin\left(\frac{\sqrt{2}}{2}\right)\right)$

$\sin^{-1}\left(\cos\left(\frac{\pi}{3}\right)\right)$

$\cos^{-1}\left(\cos\left(90\degree\right)\right)$
Type your answer in degrees!

(a)

$\tan\left(\arccos\left(\frac{\sqrt{3}}{2}\right)\right)$