Question

if tan 2A equal to COT( a - 18) where 2a is an acute angle find the value of a

Answer 1

Hallo dear!!!

Gd afternoon.

Have a nice day ahead!!!

--------------------------------------------------------------------------------------------------------------

Answer: A=36°

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°

Hope it helps u.

Answer 2

Given,

tan 2A = cot(a-18)

Required:- To find the value of a.

We know that., tan(90-¤)= cot¤ and vice versa.

So.
tan2A can also be written as cot(90-2A)

Therefore.

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

90-2a = a-18
3a = 108

a= 36 degree Answer


THANKS