Question

Find the maximum value of the any of the function given byf(x)=sin2x+5
-3
6
12
2​

Answer 1

Question :-

• Find the maximum value of the any of the function given by f(x) = sin2x + 5.

Answer

Given :-

• f(x) = sin2x + 5.

To find :-

• Maximum value of f(x).

Solution :-

We know,

$\bf \: - 1 \leqslant sin2x \leqslant 1$

Adding 5 in each term, we get

$\bf\implies \: - 1 + 5 \leqslant sin2x + 5 \leqslant 1 + 5$

$\bf\implies \:4 \leqslant f(x) \leqslant 6$

⇛ Maximum value of f(x) = sin2x + 5 is 6.

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