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Prove the trigonometric identity for
Solution:
In proving the trigonometric identities, you need to examine the both sides of the equation very well. You have to choose the more complicated side of the equation and then simplify as much as you can until it is matched with the other side of the equation. In this case, the right side of the equation is more complicated. Let's start with simplifying the right side of the equation as follows
but
and hence
Therefore,
