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Unformatted text preview: Pre-Calculus Exam 5 (Section 5.1-5.5, 6.1-6.2) Review Section 5.1 *The reciprocal and quotient identities: ) csc( 1 ) sin( t t = , ) sec( 1 ) cos( t t = , ) cos( ) sin( ) tan( t t t = , ) sin( 1 ) csc( t t = , ) cos( 1 ) sec( t t = , and ) sin( ) cos( ) cot( t t t = . * The domain of the sine and cosine functions is all of the real numbers while the range is [-1, 1]. * The cosine and secant functions are even while the sine, cosecant, tangent, and cotangent functions are odd functions. * The Pythagorean identities include: 1 ) ( cos ) ( sin 2 2 = + t t , ) ( sec ) ( tan 1 2 2 t t = + , and ) ( csc ) ( cot 1 2 2 t t = + . *Remember: SOH CAH TOA . * When you are asked to verify an identity, choose one side and alter it so that it will look like the other side. Section 5.2 *The sum and difference formulas for cosines, sines, and tangents: ) sin( ) sin( ) cos( ) cos( ) cos( = , ) sin( ) cos( ) cos( ) sin( ) sin( = , ) tan( ) tan( 1 ) tan( ) tan( ) tan( = ....
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