Inverse Trigonometric Functions

Practice with Inverse Trig Functions

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

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

• $$45\degree$$  

• $$60\degree$$  

• $$90\degree$$  

• $$0\degree$$  

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

$$\cos^{-1}\left(0\right)$$  

• $$45\degree$$  

• $$60\degree$$  

• $$90\degree$$  

• $$0\degree$$  

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

$$\tan^{-1}\left(\sqrt{3}\right)$$  

• $$45\degree$$  

• $$60\degree$$  

• $$30\degree$$  

• $$0\degree$$  

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

$$\cos^{-1}\left(\frac{\sqrt{3}}{2}\right)$$  

• $$45\degree$$  

• $$60\degree$$  

• $$30\degree$$  

• $$0\degree$$  

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

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

• $$30\degree$$  

• $$60\degree$$  

• $$\frac{1}{2}$$  

• $$\frac{1}{4}$$  

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

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

• $$\sqrt{3}$$  

• $$\frac{\sqrt{3}}{3}$$  

• $$\frac{1}{2}$$  

• $$1$$  

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

$$\sin\left(\cos^{-1}\left(0\right)\right)$$  

• $$0$$  

• $$\frac{\sqrt{2}}{2}$$  

• $$\frac{\sqrt{3}}{2}$$  

• $$1$$  

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

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

• $$1$$  

• $$0$$  

• $$90\degree$$  

• undefined

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

$$\tan\left(\cos^{-1}\left(\frac{4}{5}\right)\right)$$  

• $$\frac{4}{5}$$  

• $$\frac{3}{4}$$  

• $$\frac{5}{4}$$  

• $$\frac{4}{3}$$  

YEE-HAW!!!

Nice job! Check those answers and feel free to ask me questions about any of these problems.