Trig Unit 2 :) <3

Degrees and Radians

100

What is 180 degrees in radians?

pi

200

What is 2pi/5 radians in degrees?

72 degrees

300

A right triangle has angle measures of pi/2 radians and 2pi/5 radians. What is the measure of the third angle (in radians)?

pi/10 radians

400

Identify 2 coterminal angles for 310 degrees.

670 degrees, -50 degrees

500

Identify 2 coterminal angles for 7pi/9 radians.

25pi/9, -11pi/9

Unit Circle

100

What is the radius of the unit circle?

1

200

What is the general form of the unit circle?

x²+y²=1

300

Find csc(pi/3).

2(sqrt(3))/3

400

Find the measure in degrees of an angle in standard position that results from the given rotation:

4/5 rotation, counterclockwise

288 degrees

500

For theta=600 degrees, find the value of the six trig functions.

sin=- sqrt(3)/2             csc=- 2(sqrt(3))/3

cos=- 1/2                     sec=-2

tan=sqrt(3)                 cot=sqrt(3)/3

Coordinate Plane

100

True or false: Sec, Csc, and Cot are all positive in Quadrant II.

False

200

An angle of 650° in standard position lies in quadrant II.

False

300

If tan θ > 0 and csc θ < 0, which quadrant(s) can an angle in standard position with measure θ lie?

Quadrant III

400

The terminal side of an angle θ in standard position passes through the point (-8, 4). Find the value of cscθ.

2.24

500

θ is the measure of an angle in standard position that lies in the given quadrant. 

For sin θ = -1/3; in Quadrant IV, find the value of cot θ.

-2.83

Solving Right Triangles

100

A right triangle has angle measures of 90 degrees and 37 degrees. What is the measure of the third angle?

53 degrees

200

What is the length of the hypotenuse of a right triangle if the legs have a length of 9 and 12?

15 units

300

Find the lengths and angle measures that are not given for a triangle with the following: 

Angle C = 90 degrees, a = 24, b = 15

Angle A = 58 degrees

Angle B = 32 degrees

c = 28.3

400

A ladder 500 cm long, leans against a building. If the angle between the ground and the ladder is 57 degrees, how far from the wall is the bottom of the ladder? Round to the nearest tenth. 

272.3 cm

500

From the top of a cliff which is 450 feet above sea level, the angle of depression to a boat out at sea is 24 degrees. Find, to the nearest foot, the distance from the top of the cliff to the boat

1106 feet

Trig Identities

100

cos(−θ)=?

cosθ

200

cot²θ=?

csc²θ-1

300

tanθcosθ=?

sinθ

400

(1−cos²x)(1+cot²x)=??

1

500

(sin²(−θ)−cos²(−θ))/

(sin(−θ)−cos(−θ))=??

cosθ−sinθ