For an acute angle , .

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

Problem

For an acute angle θ\theta, sin⁡θ=35\sin\theta=\dfrac{3}{5}. (i) Find csc⁡θ\csc\theta. (ii) Using the value of csc⁡θ\csc\theta obtained in part (i), verify that 1+cot⁡2θ=csc⁡2θ1+\cot^{2}\theta=\csc^{2}\theta for this angle.

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