If tan 2A = cot(A-18°), find the value of A
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Hey Mate! Here is Your Answer
Step-by-step explanation:
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.
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