Question

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

Solution

## Here, sec 4A = cosec (A - 20°) So, sec 4A = sec (90° - (A - 20°)) So, sec 4A = sec (70° - A) So, 4A = 70° - A So, 5A = 70° So, A = 705 So, A = 14°

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