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If tan 2A = cot (A – 18°), where 2A is an acute angle, find the value of A - Mathematics

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If tan 2A = cot (A – 18°), where 2A is an acute angle, find the value of A

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Solution

tan 2A = cot (A – 18°)

cot (90° – 2A) = cot (A – 18°)

(∵ cot (90° – θ) = tan θ)

90° – 2A = A – 18°

3A = 108°

A = 36°

Concept: Trigonometric Ratios of Complementary Angles
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APPEARS IN

NCERT Class 10 Maths
Chapter 8 Introduction to Trigonometry
Exercise 8.3 | Q 3 | Page 189
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