#### Question

If sec 4A = cosec (A− 20°), where 4A is an acute angle, find the value of A.

#### Solution

Given that,

sec 4A = cosec (A − 20°)

cosec (90° − 4A) = cosec (A − 20°)

90° − 4A= A− 20°

110° = 5A

A = 22°

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Solution If sec 4A = cosec (A− 20°), where 4A is an acute angle, find the value of A. Concept: Trigonometric Ratios of Complementary Angles.