NZ Level 8 (NZC) Level 3 (NCEA) [In development]
Graphical solution of trigonometric equations involving sine and cosine

## Interactive practice questions

Consider the function $y=3\sin x$y=3sinx.

a

Graph this function.

b

Add the line $y=3$y=3 to your graph.

c

Hence, state all solutions to the equation $3\sin x=3$3sinx=3 over the domain $\left[-2\pi,2\pi\right]$[2π,2π]. Give your answers as exact values separated by commas.

Easy
Approx 3 minutes

Consider the function $y=3\cos x$y=3cosx.

Consider the function $y=\tan x$y=tanx.

Consider the function $y=\sin\left(\frac{x}{4}\right)$y=sin(x4).

### Outcomes

#### M8-2

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