Question

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

Answer 1

Given that,

sec 4A = cosec (A − 20°)

cosec (90° − 4A) = cosec (A − 20°)

90° − 4A= A− 20°

110° = 5A

A = 22°