- 1. Which system of two inequalities has its solution in the third quadrant
A) x≤y, y>x
B) x<-3, y≤-1
C) x ≥2, y≥3
D) x≥3, x≤-2
- 2. In a triangle, angles A and B are acute. If tanB=2,what is sinB.
A) √5
B) 5
C) 25
D) √2
- 3. Which system of two inequalities has no solution?
A) x≥3, x <-2
B) x≤y, x≥y
C) x<-3, x≤2
D) x ≥2, y≤3
- 4. In ABC, Cos C = 22/36. The hypotenuse is
A) 22
B) 36
C) 0.611
D) 2√45
- 5. In ABC, Sin B = 14/17. The hypotenuse of ABC is
A) 14
B) 0.825
C) √485
D) 17
- 6. In ABC, Tan A = 3/4. The hypotenuse of ABC is
A) 5
B) 3
C) 9
D) 4
- 7. The trigonometric ratio of sin 45, cos 45, and tan 45 are equal.
A) False
B) True
- 8. A 20 ft. beam leans against a wall. The beam reaches the wall 13.9 ft. above the ground. What is the measure of the angle formed by the beam and the ground?
A) 55
B) 35
C) 44
D) 46
- 9. A plane ascends at a 40° angle. When it reaches an altitude of one hundred feet, how much ground distance has it covered? To solve, use the trigonometric chart. Round the answer to the nearest tenth.
A) 64.3 ft
B) 80.1 ft
C) 76.6 ft
D) 119.2 ft
- 11. Change 120° to radian measure.
A) π/4
B) 5π/4
C) 2π
D) 2π/3
- 12. Find one positive angle and one negative angle that are coterminal with 310°.
A) -50°, 670°
B) 50°, -670°
C) -120°, 400°
D) 100°, -670°
- 13. What is the radian measurement of 5°?
A) 5/π
B) π/36
C) π/18
D) 10/π
- 14. Find the exact value of sin 405°.
A) 2
B) -1
C) √2/2
D) -√2/2
- 15. What is the reference angle of 240°?
A) 120
B) 60
C) -60
D) -120
- 16. For which trigonometric functions is an angle that measures 180° undefined?
A) csc and sec
B) csc and cot
C) tan and cot
D) sec and tan
- 17. Suppose Johnny was standing at the origin. Then, he walked northwest at an angle of 60° with respect to west. If the distance that he traveled is 16 units, what is his present position?
A) (8, -8√3)
B) (-8, 8√3)
C) (8, 8√3)
D) (8√3, -8)
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