## math 125

I want to get answers my my math 125 quiz.

Quiz 9 – Spring 2013 Math 125 Precalculus Name Question 1: Simply the the expressions. Your answer should involve only sin t, cos t, and tan t. (2 pts) (a) (sec t cot t ?? csc t tan t) sin t cos t (2 pts) (b) 1 2 csc t cos t ?? 3 cot t Question 2: Prove the following identities algebraically. (2 pts) (a) tan = 1 ?? cos 22 cos sin (2 pts) (b) (sin2 2t + cos2 2t)3 = 1 (2 pts) (c) sin4 x ?? cos4 x = sin2 x ?? cos2 x (2 pts) (d) 1 + sin cos = cos 1 ?? sin 1

Quiz 9 – Spring 2013 Math 125 Precalculus Name Question 3: Suppose that sin = 3=5 and is in the second quadrant. Find sin(2), cos(2), and tan(2) exactly. (4 pts) Question 4: Suppose p(x) = (1=x) + 1 and q(x) = x ?? 2. (2 pts) (a) Let r(x) = p(q(x)). Find a formula for r(x) and simplify it. (2 pts) (b) Write formulas for s(x) and t(x) such that p(x) = s(t(x)) , where s(x) 6= x and t(x) 6= x. Verify that p(x) = s(t(x)). (2 pts) (c) Let a be dierent from 0 and ??1. Find a simplied expression for p(p(a)). Question 5: Find the inverses of the functions. (2 pts) (a) g(x) = x ?? 2 2x + 3 (2 pts) (b) s(x) = 3 2 + log x 2