Take this test as you would take a test in dass. After you are finished, check your work against the answers given in the back of the book. L. If tan of 3 : and cos & - 0, use the fundamental identities to evaluate the other five ironometric functions of 6. 2. Use the fundamental identities to simplify esc. Al - cos B) 3. Factor and simplify 4. Add and simplify- 5. Determine the values of 8. 0 s & : 25. for which tan s = sec 8 - I is true. 6. Use a graphing utility to graph the functions y, = sin x + cos x cot x and y, = cscr. Make a conjecture about y and p, Verify your result algebraically In Exercises 7-12, verify the identity. T. sin & sec o = tan see X = sec X 10. cos sin x 8 - -I sin 6. 2 is an integer. 12. (sink cos o = | + sin 2x 13. Find the exact value of tan 105" 1 4. Rewrite sin " x tan' a in terms of the first power of the cosine. (1 2) sin 4 6 15. Use a half-angle formula to simplify the expression I + cos 48 16. Write A cos 20 sin do as a sum or difference. 17. Write sin 3e sin 48 as a product In Exercises 18-21, find all solutions of the equation in the interval [0, 25). Figure for 23 18. tan 19. sin 2a cos a = Q 20. 4 cos X 21. esc x - csex - 2 = 0 22. Use a graphing utility to approximate the solutions of the equation 3 cos x - x = 0 Air accurate to three decimal places. 23. Use the figure to find the exact values of sin 24. cos 25, and tan 2a. 24. The bales of refrection s of a transparent material is the ratio of the speed of light in a Light vacuum to the speed of light in the makeral. For the triangular glass prism in the figure, 5 and o = 60), Find the angle & for the glass prism if Prism Figure for 24