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If sin 3A =cos(A-10^(@)) where 3A is an ...

If `sin 3A =cos(A-10^(@))` where 3A is an acute angle , then find the value of A.

Text Solution

Verified by Experts

Given that ,
`sin3A=cos(A-10^(@))`
`rArrcos(90^(@)-3A)=cos(A-10^(@))rArr90^(@)-3A=A-10^(@)`
`rArr-4A=-100^(@)rArrA=25^(@)`
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