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7.03 Graphs and characteristics of inverse trigonometric functions

Interactive practice questions

Choose the correct option to fill in the blank:

The domain of $y=\sin^{-1}x$y=sin1x is equal to the _____ of $y=\sin x$y=sinx.

Amplitude

A

Period

B

Range

C

Domain

D
Easy
< 1min

Choose the correct option to fill in the blank:

$y=\cos^{-1}x$y=cos1x is equivalent to $x=\editable{}$x= for $0\le y\le\pi$0yπ.

Easy
< 1min

The point $\left(\frac{\pi}{3},\frac{1}{2}\right)$(π3,12) lies on the graph of $y=\cos x$y=cosx. What is the corresponding coordinate pair on the graph of $y=\cos^{-1}x$y=cos1x?

Easy
1min

Consider the inverse tangent function, $y=\tan^{-1}x$y=tan1x.

Easy
1min
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