To prove a trigonometric identity, you need to show that its left and right sides are equal. This can be done by transforming either the left side or the right side, or both at the same time (it is
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How to Prove Trigonometric Identities Step 1: Start with the more complicated side of the equation. Step 2: Determine what trig identity is needed, and apply the identity.
EXAMPLE 1: Prove the identity tan( ) sin( ) sec( ) x x x. As we mentioned above, we prove identities by manipulating the expression on one side of the equation (using the rules of
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