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Prove that
Solution:
Consider the given equation above
In proving the trigonometric identities, we have to choose the more complicated part which is the left side of the equation. We have to use the principles of simplifying trigonometric functions as much as we can until we get the same equation as the right side of the equation. Let's rewrite the rational and reciprocal functions into its equivalent function as follows
but
Hence the above equation becomes
Therefore,
