MAT197-04 F23 REVIEW QUESTIONS FOR QUIZ 4 & TEST 4 1. Chapter 4.5: Find the amplitude, period, phase-shift, the five key points, and graph at least two cycles of y(x) = -cos (3x+1). 2. Chapter 4.6: Find two consecutive asymptotes of the following: a. y = -2 tan (-3x + 1/2) b. cot (2x - 1/7) 3 3. Chapter 4.7: Find the exact value of the following: a. cos (tan- (+2)) -1 b. cot (sin- ()) 4. Chapter 4.7: Use a right triangle to write the following expression as an algebraic expression. Assume that x is positive and the given inverse trigonometric function is defined for the expression in x. a. sec (sin-1 x x+4 b. cos (sin-11) 5. Chapter 5.2: Suppose that sin = 12 for a quadrant II angle a and sin = for a - 13 quadrant I angle . Find the exact value of the following: a. tan(-) b. cot(a + ) 6. Chapter 5.3: Suppose that sin = value of each of the following: 5 - for a quadrant II angle a. Find the exact 13 a. tan 2a b. csc 2a 7. Chapter 5.3: Find the exact value of: a. cos 112.5 b. csc- 12 c. cos 105, if cos 210 - = 3 2 8. Chapter 5.5: Solve the following trigonometric equations: a. 5 sinx = 3 sinx + V3 b. tan2x = 3,0 < x < 2 c. 2 cosx + cosx-1= 0, 0 x <2 d. 2 cos2x + 3 sinx = 0,0 < x < 2 e. cos2x + sinx = 0 f. tanxsinx = 3tanx, 0 < x < 2