1.

Find sum of maximum and minimum values of the function `f(x) = sin^2x + 8cosx - 7`A. `-4`B. `-5`C. 4D. 5

Answer» Correct Answer - B
`y = sin^(2)x + 8cos x-7`
`1-cos^(2)x+8cos x-7`
`=-[cos^(2)x-8 cos x+6]`
`=-[(cos x-4)^(2)-10]`
`=10-(4-cos x)^(2)`
`therefore y_(min)=10-16=-6`
`y_(max)=10-9=1`


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