If tan A=cot (A-18^(@)) where 2A is an a...

If tan A`=cot (A-18^(@))` where 2A is an acute angle , find the value of A.

Text Solution

Verified by Experts

`tan2A=cot(A-18^(@))`
`rArrcot(90^(@)-2A)=cot(A-18^(@))rArr90^(@)-2A=A-18^(@)`
`rArr108^(@)=3ArArrA=36^(@)`

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Knowledge Check

If sec 2A=cosec (A-42^@) , where 2A is an acute angle, find the value of A.

A

`A=44^@`

B

`A=54^@`

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`A=64^@`

D

`A=74^@`

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