What is the <strong>LEAST</strong> value of 3 \sin^{2}\theta + 4 \cos^{2}\theta?

Explanation

The expression can be rewritten as 3(\sin^2 \theta + \cos^2 \theta) + \cos^2 \theta = 3 + \cos^2 \theta. Since \cos^2 \theta \geq 0, the least value is 3 + 0 = 3.

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