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Find sum of maximum and minimum values o...

Find sum of maximum and minimum values of the function `f(x) = sin^2x + 8cosx - 7`

A

`-4`

B

`-5`

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
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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