tan q cot q sin (a b ) = sin a cos b cos a sin b Pythagorean Identities cos (a b ) = cos a cos b m sin a sin b sin 2 q + cos 2 q = 1. 1 1 Sum and Difference Formulas cot q = tan q =. sin q csc q 1 1 q 1 - cos q 1 - cos ( 2q ). tan q = cot q = sin = sin 2 q = (1 - cos ( 2q ) ). w 2005 Paul Dawkins Formulas and Identities Tangent and Cotangent Identities Half Angle Formulas (alternate form). w -1 cos q 1 sec q 1 and sec q -1 p - < tan q < - < cot q < cot (wq ) T =. 2p -1 sin q 1 csc q 1 and csc q -1 sec (wq ) T =. The range is all possible values to get w out of the function. So, if w sin q, q can be any angle is a fixed number and q is any angle we cos q, q can be any angle have the following periods. The period of a function is the number, T, such that f (q + T ) = f (q ). adjacent opposite x y Facts and Properties Domain The domain is all the values of q that Period can be plugged into the function.
hypotenuse adjacent 1 x opposite adjacent y x tan q = cot q = tan q = cot q =. hypotenuse opposite 1 y adjacent hypotenuse x 1. y q opposite x x q adjacent opposite hypotenuse y 1. opposite sinġ trig Cheat Sheet Definition of the trig Functions Right triangle definition For this definition we assume that Unit circle definition p For this definition q is any angle. ©2005 Paul Dawkins Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume that 0 2 p < Trig Cheat Sheet Definition of the trig Functions Right triangle definition For this definition we assume that Unit circle definition p For this definition q is any angle. Example: barber Search Trig Cheat Sheet - Lamar University
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