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1.045 Trigonometric equations

Interactive practice questions

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

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a

How long is one cycle of the graph?

b

State the $x$x values for which $\cos x=0$cosx=0, from $x=0$x=0 to $x=2\pi$x=2π inclusive.

c

State the first $x$x value for which $\cos x=0.5$cosx=0.5

d

Using the symmetry of the graph, for what other value of $x$x shown on the graph does $\cos x=0.5$cosx=0.5?

e

Using the symmetry of the graph, for what values of $x$x does $\cos x=-0.5$cosx=0.5?

Easy
4min

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

Easy
5min

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

Easy
3min

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

Easy
4min
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Outcomes

3.1.6

use trigonometric functions and their derivatives to solve practical problems

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