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Minimum value of y=256sin^2x+324cos e c^...

Minimum value of `y=256sin^2x+324cos e c^2x,AAx in R` is (a) 432 (b) 504 (c) 576 (d) 776

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To find the minimum value of the function \( y = 256 \sin^2 x + 324 \cos^2 x \), we can use the method of the Arithmetic Mean-Geometric Mean (AM-GM) inequality. ### Step-by-Step Solution: 1. **Identify the terms**: We have two terms in the function: \( 256 \sin^2 x \) and \( 324 \cos^2 x \). 2. **Apply AM-GM Inequality**: According to the AM-GM inequality, for any non-negative numbers \( a \) and \( b \): \[ ...
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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
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  2. If 3 tan theta tan phi=1, then prove that 2 cos (theta+varphi)=cos (th...

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  3. Minimum value of y=256sin^2x+324cos e c^2x,AAx in R is (a) 432 (b) 5...

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