NZ Level 8 (NZC) Level 3 (NCEA) [In development]
Graphing Inverse Trigonometric Functions

## Interactive practice questions

Consider the function $f(x)=\sin^{-1}x$f(x)=sin1x.

What is the domain of $f\left(x\right)$f(x) in interval form?

Easy
Less than a minute

Consider the function $f(x)=\cos^{-1}x$f(x)=cos1x.

What is the domain of $f\left(x\right)$f(x) in interval form?

Consider the function $f(x)=\tan^{-1}x$f(x)=tan1x.

What is the domain of $f\left(x\right)$f(x) in interval form?

Why does the inverse function $f^{-1}(x)=$f1(x)=$\sin^{-1}x$sin1x have a restricted range?

### Outcomes

#### M8-2

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