1.

If sec 4 A = cosec (A − 15°), where 4 A is an acute angle, find the value of A.

Answer»

sec 4A = cosec (A – 15°)

or cosec (90° – 4A) = cosec (A – 15°)

On comparing

90° – 4A = A – 15°

A + 4A = 90° + 15°

5A = 105°

A = 21°

The value of A is 21°.



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