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Complementary Trigonometric Ratios

If tan 2A= co...

Question

If tan 2A= cot (A− 18°),where 2A is an acute angle, find the value of A.

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Solution

Giventhat,
tan 2A =cot (Aâˆ’ 18°)
cot (90°âˆ’ 2A) = cot (A âˆ’18°)
90°âˆ’ 2A = Aâˆ’ 18°
108°= 3A
A = 36°

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