Math  /  Trigonometry

Question4) Prove Trigonometric Identities (10 marks, 5 each) tanθ+cotθ=secθcscθcan2α1+can2α=sin2α\tan \theta+\cot \theta=\sec \theta \csc \theta \quad \frac{\operatorname{can}^{2} \alpha}{1+\operatorname{can}^{2} \alpha}=\sin ^{2} \alpha

Studdy Solution
Recognize that cos2α=1sin2α\cos^2 \alpha = 1 - \sin^2 \alpha and rearrange:
1cos2α=sin2α1 - \cos^2 \alpha = \sin^2 \alpha
Both identities have been proved.

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