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CanadaON
Grade 11

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
1min

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

Easy
1min
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Outcomes

11U.D.1.5

Prove simple trigonometric identities, using the Pythagorean identity sin^2(x) + cos^2(x) = 1; the quotient identity tanx=sinx/cosx; and the reciprocal identities secx=1/cosx, cscx=1/sinx, cotx=1/tanx

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