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5.085 Trigonometric identities

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)

Medium
2min

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

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

Medium
1min

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

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

Medium
1min

If $\sin\frac{2\pi}{11}=0.5406$sin2π11=0.5406, what is the value of $\sin\frac{9\pi}{11}$sin9π11?

Give your answer to four decimal places.

Easy
1min
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Outcomes

ACMMM041

prove and apply the angle sum and difference identities

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