If tan 2A = cot (A - 18°), where 2A is an acute angle
If tan 2A = cot (A - 18°), where 2A is an acute angle, find the value of A.
Answer
Two angles are said to be complementary, if their sum is equal to 90°.
cot (90 - x) = tan x
According to the question,
tan 2A = cot (A - 18°)
cot (90 - 2A) = cot (A - 18°)
90 - 2A = A - 18°
3A = 108°
A = 36°