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Question

Find the magnitude of minimum value of 1+2sinx+3cos2x

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Solution

1+2sinx+3cos2x
=3sin2x+2sinx+4
=3(sin2x2sinx3)+4
=3(sinx13)2+133
Now 0(sin13)2169
1633(sinx13)20
Adding 133 to the equation,
13(sinx13)2+133133

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