MATH 32 Study Guide - Final Guide: Precalculus, Even And Odd Functions, Surjective Function
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Page 2 of 12: evaluate the following expressions (a) sin(135 ) (b) cos( 5 . 2. (a) derive the double-angle formula for cosine from the addition theorems. (b) use (a) to derive the half-angle formulae for sine and cosine. (c) compute sin( 45 . 6 and b = triangle. (note: you may use your result from question 2) 8 nd the other angles and sidelengths of the. 4. (a) let f (x) = ex e x (b) use the graph to explain why f (x) is invertible. 2 (c) is f (x) an even or odd function? (d) find the inverse of f (x). 5. (a) sketch the graphs of sin(x), cos(x) and tan(x). (b) how many zeros does sin(x) have in the interval ( , 27 (c) find the amplitude and the period of the function f (x) = 1. 2 x ). (d) sketch the function f (x).
