General Angles

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


-5/3

5/4

4/5

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


-12/13

-12/5

-5/12

5/12

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


0

1

-1

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


130°

50°

140°

40°

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


30°

60°

90°

210°

Find the reference angle for the angle .

A.

B.

C.

D.

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


-3/4

3/4

4/3

-4/3

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

A.

B.

C.

D.

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.


0

0.4

1

-0.4

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.


0 ft.

2.7 ft.

159.7 ft.

225.8 ft.