1. COVER PAGE Basic Trig Review Name________________ Student ID____________

2. Trig Review Professor O. LePoint Instructions: Answer the following questions. You can use calculators. Complete as many questions as you can. Question 1: Give the definition for the following in the space provided below: Vertical Asymptotes of y = tan x Supplementary Angles Reference Angle SOH CAH TOA Inverse Function

3. Question 2: Find the convert 18° to π radians and find 2 coterminal angles in radians. Show all work. Question 3: The following two triangles are similar. Find x and y. Hint: Draw the triangles separately. Your answers will be in variables. Question 4: What is the sine, cosine, and tangent values of θ in standard position if the terminal side of θ is defined by x+2y =0, for x≥ 0. Box your answers. Name________________ Student ID____________ 10 20 74° X - 5 X +y X -2y 74°

4. Question 5: Give the fractions for the following trigonometric functions using the figure. Give the restrictions. If θ = tan -1 u Sin θ = __________________________________ cos θ = __________________________________ cot θ = __________________________________ Question 6 : Give the exact value of the expression without using a calculator cos ( tan -1 5/12 - tan -1 3/4 ). Question 7: Write sin 2θ – sin 4θ as a product of two functions. Name________________ Student ID____________ θ

5. Question 8: Use the half angle identity to find cos (-22.5°). Question 9 : Graphing y = 2 sin (2x) + 1 What is the period of y = 2 sin (2x) + 1 ? Evaluate y = 2 sin (2x) + 1, on an interval starting with 0 and ending with π. Sketch y = 2 sin (2x) + 1 in the space provided below Name________________ Student ID____________ 1 2 3 0

6. CONTINUED Question 10: The Hubble telescope traveling in a circular orbit 1600 km above the surface of the Earth takes 2 hours to make an orbit. The radius of earth is 6400 km. Find the linear speed of the telescope. Show all work and equations. Find the distance the telescope travels in 4.5 hours. Show all work and equations. Question 11: Graph y= sin x Name________________ Student ID____________ 6400 1600