1.

If tan 2 A = cot (A − 12°), where 2 A is an acute angle, find the value of A.

Answer»

tan 2A = cot (A – 12°)

or cot (90° – 2A) = cot (A – 12°)

On comparing

90° – 2A = A – 12 °

A + 2A = 90° + 12°

3A = 102°

A = 34°

The value of A is 34°



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