What is the <strong>LEAST</strong> value of 9 \sin^{2}\theta + 16 \cos^{2}\theta?

Explanation

Rewrite the expression as 9\sin^2\theta + 16(1-\sin^2\theta) = 16 - 7\sin^2\theta. To find the least value, we must maximize \sin^2\theta, which has a maximum value of 1. Thus, the least value is 16 - 7(1) = 9.

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