verifying cheat sheet.pdf

verifying cheat sheet.pdf - Name Essential Identities The...

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1 Tips to Solve Identities Correctly Every Time The following seven step process will work every time. It is rather tedious, and can take more time than necessary. As you gain more practice, you can skip or combine these steps when you recognize other identities. STEP 1: Convert all sec, csc, cot, and tan functions to sin and cos. You can generally do this using the quotient and reciprocal identities. STEP 2: Simplify multiple terms into a single term. Often, this means adding/subtracting fractions by finding a common denominator. STEP 3: Expand any equations you can (FOIL where applicable), combine like terms or distribute backwards, and simplify the equations. STEP 4: Factor numerators and denominators, then cancel any common factors. STEP 5: Be on the lookout for sin 2 x and cos 2 x terms (or any functions raised to powers greater than 2) where you could use the Pythagorean identities. STEP 6: If you have a fraction with multiple factors in the denominator, consider splitting quotients and simplifying separately.
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