Eduprobe
Question:
If sec4A = cosec(A - 20°), where 4A is an acute angle, find the value of A.
Solution:
Given, sec4A = cosec(A - 20°)
∴ cosec(90° - 4A) = cosec(A - 20°)
∴ 90° - 4A = A - 20°
5A = 110°
∴ A = 22°
Given, sec4A = cosec(A - 20°)
∴ cosec(90° - 4A) = cosec(A - 20°)
∴ 90° - 4A = A - 20°
5A = 110°
∴ A = 22°