Trig Functions and Graphs (radians)

Hong Kong

Stage 4 - Stage 5

Consider the function $y=3\sin x$`y`=3`s``i``n``x`.

a

Graph this function.

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b

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

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c

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

Easy

3min

Consider the function $y=3\cos x$`y`=3`c``o``s``x`.

Easy

3min

Consider the function $y=\tan x$`y`=`t``a``n``x`.

Easy

5min

Consider the function $y=\sin\left(\frac{x}{4}\right)$`y`=`s``i``n`(`x`4).

Easy

4min

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