Algebra II Standard Term 4 Review packet Test will be 60 Minutes 50 Questions

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1 Algebra II Standard Term Review packet 2017 NAME Test will be 0 Minutes 0 Questions DIRECTIONS: Solve each problem, choose the correct answer, and then fill in the corresponding oval on your answer document. Illustrative figures are NOT necessarily drawn to scale. Chapter 12 Trigonometry 1. Fill in the blank with the correct term.. What is the csc ratio for angle Ɵ? Cos θ = hypotenuse 2. Fill in the blank with the correct term.. What is the cos ratio for angle Ɵ? Cot θ = opposite 3. Fill in the blank with the correct term. Sec θ = hypotenuse 7. Use a calculator to approximate the given value to four decimal places. sec Use a calculator to approximate the given value to four decimal places.. What is the tan ratio for angle B? cos 0 9. Use a calculator to approximate the given value to four decimal places. sin π 3

2 10. Give the exact value of the trigonometric function. 1. Use SOH CAH TOA to set up an equation and solve for x. Cos Give the exact value of the trigonometric function. Sin π 1. Match the graph to the one of the functions given. 12. Give the exact value of the trigonometric function. sin Use SOH CAH TOA to set up an equation and solve for x. A. f(x) = 2 cos x B. f(x) = 2 sin x C. f(x) = 2 tan x D. f(x) = 2 csc x 2

3 1 Match the graph to the one of the functions given. 18. Match the graph to the one of the functions given. A. f(x) = 2 cos x B. f(x) = 2 sin (2x) C. f(x) = 2 tan x D. f(x) = cos (2x) A. f(x) = sec (2x) B. f(x) = sin (2x) C. f(x) = 2 tan x D. f(x) = cos (2x) 17. Match the graph to the one of the functions given. 19. You stand 20 feet from the base of a flag pole. You measure the angle of elevation to be. Estimate the height of the flagpole. A. 72 ft A. f(x) = 3 cos x B. f(x) = sin (3x) C. f(x) = 3 tan x D. f(x) = sec (3x) B. ft C. 3 ft D. 37 ft E. 28 ft 3

4 20. You stand 200 feet from the base of a tree. You measure the angle of elevation to be 0. Estimate the height of the tree. 22. Use SOH CAH TOA to solve for m θ. A. 00 ft B. 3 ft C. 283 ft D. 231 ft E. 11 ft 21. Use SOH CAH TOA to solve for m θ. A. θ 1.2 B. θ 28. C. θ 3.9 D. θ 1. E. θ Use SOH CAH TOA to solve for m θ. A. θ 28. B. θ 33.7 C. θ 1.8 D. θ 8.2 E. θ.3 A. θ 22. B. θ 3.9 C. θ 0.3 D. θ 3.1 E. θ 7.

5 2. Use SOH CAH TOA to solve for m θ. 2. Let θ be an acute angle of a right triangle. Use the given information to draw a picture of the triangle and find the length of the third side. cot θ = 8 A. θ 18. B. θ 2.8 C. θ 3. D. θ 0. E. θ Let θ be an acute angle of a right triangle. Use the given information to draw a picture of the triangle and find the length of the third side. sin θ = 8 17 A. 2 B. C. 2 D. 11 E. 27. Use the Law of Sines to solve for the length of side AC. A B. 9 C. 3 D. 1 E A B C D. 23.

6 28. Use the Law of Cosines to solve for the length of side AB. c 2 = a 2 + b 2 (2ab)(cos C) 30. Find one positive angle that is coterminal with the given angle. π A. 13π B. 8π C. 10π D. 1π A B. 1. C. 18. D Convert the degree measure to radians Find one positive angle that is coterminal with the given angle. 22 A. 2π 3 C. 3π B. π D. 7π 9 A. 2 B. 13 C. 30 D. 8 E Find one negative angle that is coterminal with the given angle. A. 7 B. 10 C. 28 D. 3 E. 7

7 33. Find one negative angle that is coterminal with the given angle. 7π 3. Find the arc length (s) of a sector with the given radius and central angle. r = in., θ = 2π 3 A. 1π B. π s = rθ C. 7π D. 12π 3. Convert the radian measure to degrees. 2π A. 3.3 in B..2 in C. 10. in D in E in A. 30 B. 72 C. 13 D. 210 E Find the area of a sector with the given radius and central angle. r = 8 in., θ = 3π A = 1 2 r2 θ A in 2 B. 2.1 in 2 C. 2.7 in 2 D..3 in 2 E. 7. in 2 7

8 37. The horizontal distance d (in feet) traveled by a projectile with an initial speed v (in feet per second) is given by 2 v d sin Multiply the expressions; then simplify. d e 2 f e2 f 3 d where θ is the angle at which the projectile is launched. Estimate the horizontal distance traveled by a golf ball that is hit at an angle of 2 with an initial velocity of 8 feet per second. A. 8 ft B. 177 ft C. 219 ft D. 2 ft E. 330 ft 38. Find the Area if the triangle. (SAS) A. de C. B. d 3 e f 2 D. d3 f 2 0. Factor; then simplify the expression. 9x 3x 2 1x Area = 1 (b c sin A) 2 A. 2 x B. 3 x C. 2 x 3 D. x x 1 1. Factor; then simplify the expression. A. 11 u 2 B. 172 u 2 C. 208 u 2 D. 232 u 2 E u 2 A. x+ x+ C. x+ x x 2 + 8x + 1 x 2 3x 18 B. x+3 x D. x 3 x 8

9 2. Divide; then simplify the expression. x x + 28 x 2 1 x + 7 x 2. Solve the equation. Check your solution. (hint: the denominators are equal) 3x + 2 x 2 = x x 2 A. 1 3 B. 3 A. 2x+ 3 C. x 2 x 3. Simplify the expression. B. x x 2 D. x x C. 9 D. 1. Solve the equation. Check your solution. (hint: Multiply through by the LCM to get rid of the fractions) 12 x 2 3 = 3 x + A. x C. x 3 3x + 1 3x B. 3x D. 20 3x A. 1 3 B. 1 C. 10 D. 7. Match the graph to the one of the functions given. (hint: There is a horizontal asymptote at y = 1 and two vertical asymptotes.). Simplify the expression. x + 3x x 2 2 A. x+ x 2 2 C. x x+ B. D. x 20 x x A. y = x2 +3 (x+1)(x 2) C. y = 3 (x 2) B. y = x x D. y = x

10 8. Match the graph to the one of the functions given. (hint: There is a horizontal asymptote at y = 0 and one vertical asymptote.) A. y = x2 +3 (x+1)(x 2) C. y = 3 (x 2) B. y = x x D. y = x Classify the following function by family. f(x) = x 3 x 2 2x 3 A. Linear B. Quadratic C. Trigonometric D. Polynomial E. Rational 0. Classify the following function by family. f(x) = 2 sin(x) A. Linear B. Quadratic C. Trig0nometric D. Polynomial E. Rational 10