Trig Identities
Points on and off the Unit Circle
Quadrants
Reference Angles
Exact Trig Values
100

This trig functions ratio is O/H

What is sine?

100

The ordered pair (-sqrt(2)/2, sqrt(2)/2) represents the point where the terminal side of an angle theta, intersects the unit circle.  What is m<theta?

What is 135 degrees?

100

In which quadrant does the angle 112 ° lie in?

Quadrant 2

100

This is the reference angle to 112o

What is 68o?

100

This is the exact value of sin(pi/6)

What is 1/2?
200

This trig functions ratio is A/H

What is cosine?

200
The ordered pair (1/2, -sqrt(3)/2) represents the point where the terminal side of an angle, theta, intersects the unit circle. What is m< theta?

What is 330 degrees?

200

This angle is coterminal with 915and is between 0o and 360o?


What is 195o

200

This is the reference angle to 320o

What is 40o?

200

This is the exact value of tan(pi/3)

What is rad(3)?

300

This trig functions ratio is O/A

What is tangent?

300

The terminal side of an angle contains the point (-2, 3).  Find all 6 trigonometric ratios.  All answers should be expressed with a rational denominator.

sin = 3rad(13)/13

cos = -2rad(13)/13

tan = 3/-2

csc = rad(13)/3

sec = rad(13)/-2

cot = -2/3

300

Are 120o and -240o coterminal? Explain.

Yes because 120-360 = 240 

OR because -240+360 = 120

300

This is the reference angle to 5pi/4

What is pi/4?

300
This is the exact value of cos(-pi/6)

What is rad(3)/2?

400

This trig ratio is the H/O

What is cosecant?

400

If sinA=-8/17 and cos A >0, find the remaining trig ratios.

cosA = 15/17

tanA = -8/15

cscA = 17/-8

secA=17/15

cotA = 15/-8

400

    If sinA > 0 and cosA < 0, in which quadrant does angle A terminate?

Quadrant 2

400

This is the reference angle to 7pi/8 

What is pi/8?

400

This is the exact value of tan(4pi/3)

What is -rad(3)?

500

This trig ratio is H/A

What is secant?

500

The ordered pair (-0.8, -0.6) represents the point where the terminal side of an angle, theta, intersects the unit circle.  What is theta to the nearest degree?

What is 323 degrees or -37 degrees?

500
  • If  sinA = -3/5 and cosA < 0 , in which quadrant does A terminate?

Quadrant 4

500

This is the reference angle to -9pi/2

What is 3pi/2?

500

This is the exact value of csc(11pi/6)

What is -2?
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