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5.10 Trigonometric equations

Interactive practice questions

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

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$3sinx=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=3cosx.

Easy
3min

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

Easy
5min

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

Easy
4min
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Outcomes

1.2.16

solve equations involving trigonometric functions using technology, and algebraically in simple cases

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