cos ( -q ) = cos q sec ( -q ) = sec q cos a cos b = cos (a - b ) + cos (a + b ). sin ( -q ) = - sin q csc ( -q ) = - csc q 2. Even/Odd Formulas sin a sin b = cos (a - b ) - cos (a + b ). 1 m tan a tan b 1 + cot 2 q = csc 2 q Product to Sum Formulas 1.

tan a tan b tan 2 q + 1 = sec 2 q tan (a b ) =. 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 =. sec q = cos q = tan = tan 2 q =.ģ Cos q sec q 2 1 + cos q 1 + cos ( 2q ). 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. 2 w cot q, q n p, n = 0, 1, 2,K p tan (wq ) T =. 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.Ģ 1. 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 angle cheat sheet