Question

If tan(a – 18) = cot3a , where ‘3a’ is an acute angle, then the value of ‘a’

Answer 1

Hi dear!!

here is your answer !!

Given us,

Tan ( a - 18 ) = Cot 3a

°.° Cot 3a = Tan ( 90 - 3a )

So, we can write,

Tan ( a - 18 ) = Tan ( 90 - 3a )

°.° a -18 and 90 - 3a both are an acute angle

so ,

a - 18 = 90 - 3a

=> a +3a = 90 +18

=> 4a = 108

=> a = 108/4

=> a = 27

.°. The value of a is 27

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Answer 2

hope this will help you.