Question

Tan 2A =cot(A-18) where 2A is acute angle,then A

Answer 1

Answer:

Step-by-step explanation:

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°

Answer 2

$\tan \: 2a = \cot(a - 18)$

Using the trignometric ratios

tan (90 - θ) = cot θ

$\cot (90 - 2a) = \cot(a - 18)$

On Comparing,

$90 - 2a = a - 18$

$3a = 108$

$a = \frac{108}{3}$

$a = 36$