For an acute angle

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

Problem

For an acute angle β\beta, it is given that sin⁡(90∘−β)=513\sin(90^{\circ}-\beta)=\dfrac{5}{13}. (i) Find the exact value of tan⁡β\tan \beta. (ii) Hence evaluate cot⁡(90∘−β)sec⁡β\dfrac{\cot(90^{\circ}-\beta)}{\sec \beta} and express your answer as a rational number.

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