cos 3aA- 18°), where 2A is an acute angle, find the valtu2AIf tancat

1.	cos 3aA- 18°), where 2A is an acute angle, find the valtu2AIf tancat B. prove that A+B-90
Answer» 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° Like my answer if you find it useful!

cos 3aA- 18°), where 2A is an acute angle, find the valtu2AIf tancat B. prove that A+B-90

Answer»

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°

Like my answer if you find it useful!