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Question

Prove that 23+3 sin x+23 cos x lies between -23+15 and 23+15.

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Solution

Let fx =(23+3) sinx +23cosxWe know that,-23+32+232fx23+32+232-12+9+123+12fx12+9+123+12-33+123 fx33+123Disclaimer : Instead of -23+15 and 23+15, it should be -33+123and 33+123.

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