NZ Level 7 (NZC) Level 2 (NCEA)
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Trigonometric ratios of supplementary angles (rad)

Interactive practice questions

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

If $\sin\theta=0.6$sinθ=0.6, find the value of:

a

$\sin\left(\pi-\theta\right)$sin(πθ)

b

$\sin\left(\pi+\theta\right)$sin(π+θ)

c

$\sin\left(2\pi-\theta\right)$sin(2πθ)

d

$\sin\left(-\theta\right)$sin(θ)

Easy
Approx 3 minutes
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Let $\theta$θ be an acute angle (in radians).

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

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

If $\tan\theta=0.52$tanθ=0.52, find the value of:

If $\sin x=\sin\frac{\pi}{3}$sinx=sinπ3 and $\frac{\pi}{2}π2<x<π, what is the value of $x$x?

Outcomes

M7-4

Apply trigonometric relationships, including the sine and cosine rules, in two and three dimensions

91259

Apply trigonometric relationships in solving problems

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