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7.09 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

Examine the graph of $y=\sin x$y=sinx.

Easy
5min
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Outcomes

2.3.2.7

solve equations involving trigonometric functions with and without technology

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