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CanadaON
Grade 12

Evaluate trig expressions using double and half angle identities (rad)

Interactive practice questions

Given $\cos\theta=\frac{4}{5}$cosθ=45 and $\sin\theta=\frac{3}{5}$sinθ=35:

a

Find the value of $\sin2\theta$sin2θ.

b

Find the value of $\cos2\theta$cos2θ.

c

Find the value of $\tan2\theta$tan2θ.

Easy
9min

Given $\cos\theta=\frac{4}{5}$cosθ=45 and $\sin\theta$sinθ$<$<$0$0, find:

Easy
9min

Solve for the exact value of $\cos\left(\frac{x}{2}\right)$cos(x2) if $\cos x=\frac{2}{5}$cosx=25 and $00<x$<$<$\frac{\pi}{2}$π2. Express your solution in rationalised form.

Easy
5min
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Outcomes

12F.B.3.2

Explore the algebraic development of the compound angle formulas, and use the formulas to determine exact values of trigonometric ratios

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