w 2005 Paul Dawkins Formulas and Identities Tangent and Cotangent Identities Half Angle Formulas (alternate form).ģ Sin q cos q q 1 - cos q 1. 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 =. The period of a function is the number, T, such that f (q + T ) = f (q ).Ģ 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. 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.
1 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.
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