Evaluate the expression without using a calculator.\\ $\left(\sin\frac{\pi}{4}\cos\frac{\pi}{6} - \sin\frac{\pi}{6}\cos\frac{\pi}{4}\right)^2$
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Now, we can use the identity sin^2x + cos^2x = 1 to rewrite this expression as (sin I)^2 (1 - sin^2I). Expanding this expression, we get (sin I)^2 - (sin I)^4. Show more…
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