Find the exact value of each expression. arcsin ⁡ 0 \arcsin0 arcsin 0

− π 3 -\frac{\pi}{3} − 3 π

Find the exact value of each expression. sin ⁡ − 1 ( − 1 2 ) \sin^{-1}\left(-\frac{1}{2}\right) sin − 1 ( − 2 1 )

− π 6 -\frac{\pi}{6} − 6 π

− π 3 -\frac{\pi}{3} − 3 π

Find the exact value of each expression. tan ⁡ − 1 ( 1 ) \tan^{-1}\left(1\right) tan − 1 ( 1 )

− π 4 -\frac{\pi}{4} − 4 π

− π 3 -\frac{\pi}{3} − 3 π

Find the exact value of each expression. 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

Find the exact value of each expression. sin ⁡ − 1 ( 1 ) \sin^{-1}\left(1\right) sin − 1 ( 1 )

− π 2 -\frac{\pi}{2} − 2 π

Find the exact value of each expression. tan ⁡ − 1 ( − 3 ) \tan^{-1}\left(-\sqrt{3}\right) tan − 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"> )

− π 3 -\frac{\pi}{3} − 3 π

− π 4 -\frac{\pi}{4} − 4 π

− π 6 -\frac{\pi}{6} − 6 π

Find the exact value of each expression. arcsin ⁡ ( 1 2 ) \arcsin\left(\frac{1}{2}\right) arcsin ( 2 1 )

− π 2 -\frac{\pi}{2} − 2 π

Evaluating Inverse Trig Expressions

Authored by ISAAC MENDEZ

Mathematics

11th - 12th Grade

CCSS covered

Used 56+ times

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12 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the exact value of each expression.
$\cos^{-1}\left(\frac{\sqrt{3}}{2}\right)$

$0$

$\pi$

$\frac{\pi}{6}$

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

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the exact value of each expression.
$\arcsin0$

$\frac{\pi}{2}$

$0$

$\frac{\pi}{6}$

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

Tags

CCSS.HSF.TF.B.7

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the exact value of each expression.
$\sin^{-1}\left(-\frac{1}{2}\right)$

$0$

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

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

$\frac{\pi}{2}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the exact value of each expression.
$\arccos\left(\frac{1}{2}\right)$

$\pi$

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

$\frac{\pi}{3}$

$\frac{\pi}{4}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the exact value of each expression.
$\tan^{-1}\left(1\right)$

$\frac{\pi}{4}$

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

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

$\frac{\pi}{6}$

Tags

CCSS.HSF.TF.B.7

CCSS.HSF.TF.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the exact value of each expression.
$\arctan\left(-\frac{\sqrt{3}}{3}\right)$

$0$

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

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

$\frac{\pi}{6}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the exact value of each expression.
$\sin^{-1}\left(1\right)$

$0$

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

$\frac{\pi}{3}$

$\frac{\pi}{2}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the exact value of each expression.
$\arccos\left(-\frac{\sqrt{3}}{2}\right)$

$\frac{\pi}{2}$

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

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

$0$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the exact value of each expression.
$\tan^{-1}\left(-\sqrt{3}\right)$

$\frac{\pi}{4}$

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

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

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

Tags

CCSS.HSF.TF.B.7

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the exact value of each expression.
$\arcsin\left(\frac{1}{2}\right)$

$\frac{\pi}{6}$

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

$\frac{\pi}{2}$

$0$

Tags

CCSS.HSF.TF.A.4

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Evaluating Inverse Trig Expressions

Find the exact value of each expression. cos⁡−1(32)\cos^{-1}\left(\frac{\sqrt{3}}{2}\right)cos−1(23​​)

Find the exact value of each expression. arcsin⁡0\arcsin0arcsin0

Find the exact value of each expression. sin⁡−1(−12)\sin^{-1}\left(-\frac{1}{2}\right)sin−1(−21​)

Find the exact value of each expression. arccos⁡(12)\arccos\left(\frac{1}{2}\right)arccos(21​)

Find the exact value of each expression. tan⁡−1(1)\tan^{-1}\left(1\right)tan−1(1)

Find the exact value of each expression. arctan⁡(−33)\arctan\left(-\frac{\sqrt{3}}{3}\right)arctan(−33​​)

Find the exact value of each expression. sin⁡−1(1)\sin^{-1}\left(1\right)sin−1(1)

Find the exact value of each expression. arccos⁡(−32)\arccos\left(-\frac{\sqrt{3}}{2}\right)arccos(−23​​)

Find the exact value of each expression. tan⁡−1(−3)\tan^{-1}\left(-\sqrt{3}\right)tan−1(−3​)

Find the exact value of each expression. arcsin⁡(12)\arcsin\left(\frac{1}{2}\right)arcsin(21​)

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Find the exact value of each expression.
$\cos^{-1}\left(\frac{\sqrt{3}}{2}\right)$

Find the exact value of each expression.
$\arcsin0$

Find the exact value of each expression.
$\sin^{-1}\left(-\frac{1}{2}\right)$

Find the exact value of each expression.
$\arccos\left(\frac{1}{2}\right)$

Find the exact value of each expression.
$\tan^{-1}\left(1\right)$

Find the exact value of each expression.
$\arctan\left(-\frac{\sqrt{3}}{3}\right)$

Find the exact value of each expression.
$\sin^{-1}\left(1\right)$

Find the exact value of each expression.
$\arccos\left(-\frac{\sqrt{3}}{2}\right)$

Find the exact value of each expression.
$\tan^{-1}\left(-\sqrt{3}\right)$

Find the exact value of each expression.
$\arcsin\left(\frac{1}{2}\right)$