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CanadaON
Grade 12

Trigonometric ratios of supplementary angles (degrees)

Interactive practice questions

Let $\theta$θ be an acute angle (in degrees).

If $\sin\theta=0.9$sinθ=0.9, find the value of:

a

$\sin\left(180^\circ-\theta\right)$sin(180°θ)

b

$\sin\left(180^\circ+\theta\right)$sin(180°+θ)

c

$\sin\left(360^\circ-\theta\right)$sin(360°θ)

d

$\sin\left(-\theta\right)$sin(θ)

Easy
2min

Let $\theta$θ be an acute angle (in degrees).

If $\cos\theta=0.1$cosθ=0.1, find the value of:

Easy
1min

Let $\theta$θ be an acute angle (in degrees).

If $\tan\theta=0.23$tanθ=0.23, find the value of:

Easy
1min

If $\sin x=\sin30^\circ$sinx=sin30° and $90^\circ90°<x<180°, what is the value of $x$x?

Easy
< 1min
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Outcomes

12CT.C.1.3

Determine the measures of two angles from 0º to 360º for which the value of a given trigonometric ratio is the same (e.g., determine one angle using a calculator and infer the other angle)

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