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Trigonomem't: Functions 1. 511' Consider the angle 9 = ? a) Draw the angle in standard position. b) Convert the angle measure to degrees. c) Write an expression for all angles that are coterminal with 9, in radians. 107T _ _ . d) Is T co-terminal With 6? Justify your answer. Solve the equation 55in20 + 3 sin 0 2 = 0, 0 S 0 S 211', algebraically. Give your answer to the nearest thousandth of a radian. a) Sketch the graph ofthe function f(x) = 3 sin % (x + 60) 1 For 360 S 9 S 360. b) State the Range of the function. c) Identify the amplitude, period, phase shift and vertical displacement for the function. d) Determine the roots ofthe equation 3 sin 2 (x + 60) 1 = 0. Give your answer to the nearest degree. _ _ 1 secx Con5ider the equation tan x + = _ tanx smx 2 11' 3) Verify that the equation is true for x = ?. b) What are the nonpermissible values for the equation? c) Prove that the equation is an identity for all permissible values of x