An acute angle satisfies .

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

An acute angle θ\theta satisfies sin⁡θ=513\sin\theta = \dfrac{5}{13}. (i) Find cos⁡θ\cos\theta. (ii) Hence, find the value of sin⁡2θ+cos⁡2θ\sin^2\theta + \cos^2\theta.

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