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Q.

The maximum and minimum values of the function f:R→R defined by f(x)=5sinx+3cosx+π2+8 for all x∈R are respectively

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a

6,10

b

8, -8

c

-7, -15

d

1, -15

answer is A.

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Detailed Solution

f(x)=5sinx-3sinx+8=2sinx+8-1≤sinx≤1 -2≤2sinx≤2 6≤2sinx+8≤10
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