Question

If Tan 2A = Col (A-18°),
Where aA is an acute angle.
Find value of A ?​

Answer 1

The value of A is 36°

Step-by-step explanation:

tan 2A = cot (A-18°)

Using formula, tan x = cot (90-x)

Therefore,

tan(2A)=cot(A-18°)

cot(90°-2A)=cot(A-18°)

So,  90°-2A=A-18°

3A=108°

A=36°

Hence, the value of A is 36°

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