For each of the following

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

For each of the following, find the required reciprocal trigonometric ratio and express your answer in simplest form. (i) Given sin⁡θ=23\sin\theta = \dfrac{2}{3}, find csc⁡θ\csc\theta. (ii) Given cos⁡θ=32\cos\theta = \dfrac{\sqrt{3}}{2}, find sec⁡θ\sec\theta. (iii) Given tan⁡θ=5\tan\theta = 5, determine cot⁡θ\cot\theta as a simplified fraction.

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