NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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Applications of Pythagorean identities

Interactive practice questions

By starting with the left hand side, prove that $\frac{1-\cos^2\left(\theta\right)}{\sin\theta}=\sin\theta$1cos2(θ)sinθ=sinθ.

Easy
Approx 2 minutes
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Starting with the left hand side, prove the identity $\frac{1-\sin^2\left(x\right)}{\cos x}=\cos x$1sin2(x)cosx=cosx.

Outcomes

M8-6

Manipulate trigonometric expressions

91575

Apply trigonometric methods in solving problems

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