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1.045 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 $y=\tan x$y=tanx.

Easy
5min

Examine the graph of $y=\cos x$y=cosx.

Easy
4min

Examine the graph of $y=\tan x$y=tanx.

Easy
4min
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Outcomes

3.2.3.3

use trigonometric functions and their derivatives to solve practical problems; including trigonometric functions of the form 𝑦 = sin(𝑓(𝑥)) and 𝑦 = cos(𝑓(𝑥)).

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