If `sin10theta=cos8thetaand10theta` is a positive acute angle, then fi – InterviewSolution

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1.	If `sin10theta=cos8thetaand10theta` is a positive acute angle, then find the value of `tan9theta`.
Answer» Given that `sin10theta=cos8thetaand10theta` is acute. `:.sin10theta=sin(90^(@)-8theta)` `implies10theta=90^(@)-8theta` `implies10theta+8theta=90^(@)` `implies18theta=90^(@)` `impliestheta=(90^(@))/(18)` `impliestheta=5^(@)` `implies9theta=9xx5^(@)=45^(@)` `impliestan9theta=tan45^(@)` `impliestan9theta=1` Hence the value of `tan9theta=1`

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