NZ Level 8 (NZC) Level 3 (NCEA) [In development]
Key Features of Inverse Trigonometric Functions

Interactive practice questions

Choose the correct option to fill in the blank:

For a function to have an inverse, it must be _____.

One-to-one

A

Increasing

B

Linear

C

Trigonometric

D

One-to-one

A

Increasing

B

Linear

C

Trigonometric

D
Easy
Less than a minute

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.

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.

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?

Outcomes

M8-2

Display and interpret the graphs of functions with the graphs of their inverse and/or reciprocal functions