`f(x)=sin^2x+cos^4x+2` and `g(x)=cos(cosx)+cos(sinx)` Also let period – InterviewSolution

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1.	`f(x)=sin^2x+cos^4x+2` and `g(x)=cos(cosx)+cos(sinx)` Also let period f(x) and g(x) be `T_1` and `T_2` respectively thenA. `T_(1)=2T_(2)`B. `2T_(1)=T_(2)`C. `T_(1)=T_(2)`D. `T_(1)=4T_(2)`
Answer» Correct Answer - C `f(x)=sin^(2)x+(1-sin^(2)x)^(2)+2` `=3-sin^(2)x+sin^(4)x` `=3-sin^(2)xcos^(2)x` `=3-(sin^(2)2x)/(4)` `rArr" "T_(1)=(pi)/(2), and T_(2)=(pi)/(2)`

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