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The minimum value of f(x)= a sin x+b cos...

The minimum value of `f(x)= a sin x+b cos x` is

A

`-sqrt(a^(2)+b^(2))`

B

`sqrt((a^(2)+b^(2))`

C

`(-1)/(sqrt(a^(2)+b^(2)))`

D

`(1)/(sqrt(a^(2)+b^(2)))`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The maximum value of f(x)=a sin x +b cos x is

    A
    `-sqrt(a^(2)+b^(2))`
    B
    `sqrt((a^(2)+b^(2))`
    C
    `(-1)/(sqrt(a^(2)+b^(2)))`
    D
    `(1)/(sqrt(a^(2)+b^(2)))`

  • The maximum and minimum values of f(x)= 6 sin x cos x +4cos2x are respectively

    A
    `5 and -5`
    B
    `2sqrt13 and -2 sqrt13`
    C
    `10 and -10`
    D
    none of these

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    A
    `1/(2sqrt2)`
    B
    `1/4`
    C
    `-1/2`
    D
    `1/2`

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