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Maximum value of `f(x)=sinx+cosx ` is `:`A. 1B. 2C. `(1)/(sqrt(2))`D. `sqrt(2)` |
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Answer» Correct Answer - D `y=f(x)=sinx+cosx` `(dy)/(dx)=cosx-sinx` `(dy)/(dx)=0,sinx=cosx,tanx=1` `x=45^(@)` `y=sin45^(@)+cos45^(@)` `=(1)/(sqrt(2))+(1)/sqrt(2)` `=(2)/(sqrt(2))=sqrt(2)` Alter `:fx=sqrt(2)sin(x+(pi)/(4))` `f(x)_(max)=sqrt(2)` |
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