1. Simplify cos x tan x. A. 1 B. csc x C. sin x D. cos x Hint 2. Simplify cos x + cos x tan2 x. A. tan x B. csc x C. 1 + tan x D. sec x Hint 3. If x and y are acute angles such that sin x = and sin y = , what is the value of cos (x - y)? A. B. C. D. Hint 4. Complete the identity = ________. A. tan x B. cos x C. cot x D. sin x Hint 5. Consider the equation -x + 2y - 5 = 0. Find the length of the normal and the angle it makes with the positive x-axis. A. ; 297° B. ; 117° C. ; 63° D. ; 243° Hint 6. Complete the identity ______________. A. sin A B. -cos A C. cos A D. -sin A Hint 7. What is the distance between the lines with equations x + y - 5 = 0 and y = -x + 10? A. B. C. D. Hint 8. Complete the identity = _______. A. sec x B. -cos x C. tan x D. sin x Hint 9. Complete the identity sin4 x - cos4 x = __________. A. sin2 x - cos2 x B. tan4 x C. 1 D. 0 Hint 10. If cos = and has its terminal side in the first quadrant, find the exact value of cos . A. B. - C. - D. Hint 11. Solve sec2 x = - 2 for -90° < x < 90°. A. -30°, 30° B. 0° C. 60° D. -60°, 60° Hint 12. Solve for 0 x < 2. A. B. C. D. Hint 13. For the line given by the equation 5x - 7y + 24, what is the length of the normal through the origin? A. 2 B. 24 C. D. Hint 14. Find the distance between the lines given by the equations y = x - and 2x - 5y = 28. A. B. C. D. Hint