2. Show that $|\sin x| \leq 1$ and $|\cos x| \leq 1$ for all $x \in \mathbb{R}$.
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This is a fundamental property of the sine and cosine functions. We can use the definition of sine and cosine in terms of the unit circle. Consider a unit circle centered at the origin (0,0) in the Cartesian coordinate system. A unit circle has a radius of 1. For Show more…
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