Question

If sec4A = cosec(A – 20°), where 4A is an acute angle, find the value of A.

Answer 1

Answer: We have
sec4A = cosec (A - 20°)
⇒ cosec (90° - 4A) = cosec (A - 20°)

Equating angles,
90° - 4A= A- 20°
⇒ 110° = 5A
⇒ A = 22°