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CanadaON
Grade 12

Evaluate trig expressions using double and half angle identities (deg/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

Simplify $\cos^2\left(15^\circ\right)-\sin^2\left(15^\circ\right)$cos2(15°)sin2(15°).

Easy
1min

Simplify $\frac{2\tan157.5^\circ}{1-\tan^2\left(157.5^\circ\right)}$2tan157.5°1tan2(157.5°).

Easy
1min

Simplify $2\sin22.5^\circ\cos22.5^\circ$2sin22.5°cos22.5°.

Easy
< 1min
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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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