MATH 118 Study Guide - Midterm Guide: Algebraic Expression, Hypotenuse, Precalculus
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10. 3: the six circular functions and fundamental identities. Domain & range f(t) = sin(t) f(t) = cos(t) Ex: if = 5 , hypotenuse is 10, how long is side opposite ? a. Unit circle cos = x sin = y sec = = 0. 87 sin cos = cos sin = csc tan = cot = sec tan . Ex: sec 4 = 1cos 4 = 1 22 = 2 2 = 2. = 22 22 = 1 cos2 + sin2 = 1. 1 + tan2 = sec2 1 = sec2 tan2 1 = (sec2 + tan2 )(sec tan ) Ex: find exact value of remaining circular function. cot = 2 tan = 2 with in quad iv. Ex: cos cos cos2 = sec = tan = 1 tan =3 4 + 2 tan =7 4 + 2 tan =3 4 + .
