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The minimum of ` 3cosx +4sin x+8` isA. 5B. 9C. 7D. 3

Answer» Correct Answer - D
Given expression, `3cosx+4sinx+8 `
Let `" "` ` y=3cosx+4sinx+8`
`rArr" "y-8=3cosx+4sinx`
`therefore" "` Minimum value of `y-8=-sqrt(9+16)`
`rArr" "y-8=-5rArry=-5+8`
`therefore" "y=3`
Hence, the minimum value of `3cosx+4sinx+8` is 3.


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