Maxima and MinimaHard

Question

The maximum value of sin x + cos2x is-

Options

A.0
B.-2
C.9/8
D.None of these

Solution

sin x + cos2x
y = sin x + cos2x
y = sin x + 1 - 2sin2x
y = - 2sin2x + sin x + 1
this quadratic eq. form
y = ax2 + bx + c
max. value =
y =

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