Question

if tan 2a=cot(a-18) where 2a is an acute angle , find the value of A​

Answer 1

Hi ,

This is related to Trigonometric

Ratios of Complementary angles ,

Two angles are said to be Complementary , if their sum is equal

to 90°.

As you know that ,

Cot ( 90 - x ) = tan x

According to the problem given,

Tan 2A = cot ( A - 18 )

Cot ( 90 - 2A ) = cot ( A - 18 )

Remove the cot both sides

we get ,

90 - 2A = A - 18

-2A - A = - 18 - 90

- 3A = - 108

A = ( - 108 ) / ( - 3 )

A = 36°

I hope this helps you.

:)

Answer 2

Answer:36

Step-by-step explanation:tan 2a= cot(

a-18)

By using identity

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

108=3a

a=36

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