General Angles quiz, algebra homework help

1) Find sec Θ if the terminal side of Θ in standard position contains the point (4, -3).

A. -¾

B. -5/3

C. 5/4

D. 4/5

2) Find tan Θ if the terminal side of Θ in standard position contains the point (-12, 5).

A. -12/13

B. -12/5

C. -5/12

D. 5/12

3) Find the value of cot Θ if Θ is in standard position has a measure of 180°.

A. 0

B. 1

C. -1

D. undefined

4) Which of the following is the reference angle for 230°?

A. 130°

B 50°

C. 140°

D. 40°

5) Which of the following is the reference angle for -150°?

A. 30°

B. 60°

C. 90°

D. 210°

6) Find the reference angle for the angle .

A.

B

C.

D.

7) If sin Θ=-3/5 and the angle is in quadrant IV, what is cot Θ?

A. -3/4

B. 3/4

C. 4/3

D. -4/3

8) If csc Θ = 3/2 and the angle is in quadrant II, what is sec Θ?

A.

B.

C.

D.

9) Miranda and Travis visit an amusement park to ride a skycoaster. After the first few swings, the angle the skycoaster makes with the vertical is modeled by Θ=0.4cosπt, with Θ measured in radians and t measured in seconds. Determine the measure of the angle in radians for t = 1.5.

A. 0

B. 0.4

C. 1

D. -0.4

10) The formula gives the distance of a baseball that is hit at an initial velocity of V0 feet per second at an angle of Θ with the ground. If the ball was hit with an initial velocity of 85 feet per second and an angle of 45°, how far was it hit? Round to the nearest tenth.

A. 0 ft.

B. 2.7 ft.

C. 159.7 ft.

D. 225.8 ft.