Please answer all questions down below with steps and explanations.

Special Triangles and Graphing Trigonometric Functions - Problem Solving I19 Name: 1 3 1 l 1 sin 8 i 0.707, is 0.866, J3 i 1.732, sew: , csc0= _ , cot6= , ma: '5 2 cos 6 sm 6 tan 6 cos 6 1. Without the aid of a calculator, determine the exact value of sec( %] and show how a good approximation of this value can be obtained. Be sure to provide support for how the answer was obtained. (4) I! 3)] - 2 , determine the exact value of the y-intercept as well as a good approximation for the y-intercept without the aid of a calculator. 2. Given the function, y = 85in[4[0 (4) 1r . ED 2 were to be graphed on the grid provided at the bottom of the page. The two cycles should fill up as much of the grid as possible. 3. Answer the questions below if two cycles of the function y = 4 co{4[6 Ir (7) a) State the mapping notation that would change the parent graph ofy = cos 6 into y = 4 co{4[0 ED 2 . b) Determine the vertical scale for the grid. c) Determine the horizontal scale for the grid. 12 1 d) Determine the transformed point that would correspond to(Z 3T] from the parent function y = cos a after the 2 transformations were applied. e) Determine, without the aid of a calculator, the estimated value of the point from part d). Provide support for how you determined your answer. 4. Use your knowledge of rational functions, the trigonometric functions of y = sin 0 and y = cos 0 and the trig identity, tan 0 = - sin e to answer the questions below the graph. cos 8 (4) From the given graphs, how can you identify where do the roots of the function y = tan 0 occur? Write the general statement to represent all the roots of y = tan 0 . Complete the following undefined behaviour statements for one location where the function y = tan 0 is undefined and justify how this can be determined directly from the graphs of y = sin 0 and y = cos 0 . Undefined Behaviour Justification X - y - X - , y