Coterminal Angles and Quadrants
Converting Between Radians and Degrees
Unit Circle Trig Ratios
Definitions
Trig Inverse
100
Give a positive coterminal angle for 10˚
370˚, 730˚, ...
100
What is π/3 in degrees?
60˚
100
Evaluate sin( π/4 )
sqrt(2)/2
100
What is the sine of an angle?
-A ratio in a right triangle equivalent to the opposite side over the hypotenuse. -In a unit circle, it is the y-coordinate for any given point on the circle
100

sin x = 1/2. What is x? [0,pi/2]

What is pi/6?

200
Find a positive coterminal angle for -5825˚
295˚, 655˚, ...
200
What is 5π/4 in degrees?
225˚
200
Evaluate cos (11π/6)
sqrt(3)/2
200
What is the cotangent of an angle?
-A ratio in a right triangle equivalent to the adjacent side over the opposite side. -A ratio equivalent to the reciprocal of the tangent of that angle -In a circle, it is the x-coordinate divided by the y-coordinate for any given point on the circle
200

cos x = - (sqrt 3)/2. What is x? [0,3pi/2]

What is 5pi/6 & 7pi/6?

300
Find a negative coterminal angle for 89π/17
-13π/17 , -47π/17, ...
300
What is 57π/60 in degrees?
171˚
300
Evaluate tan (3π / 4)
-1
300
What is a coterminal angle?
An angle that looks identical to another angle in standard position but whose terminal side has been rotated by a multiple of 360˚ or 2pi
300

tan x = - sqrt 3. What is x? [0,2pi]

What is 2pi/3 & 5pi/3?

400
In what quadrant is the angle 103π/15 located?
QII (coterminal to 13π/15)
400
What is 390˚ in radians (as a fraction in simplest form)?
13π/6
400
Evaluate sec (4π/3)
-2
400
What is a degree?
A unit of measure that is equivalent to an angle that subtends an arc that is 1/360th the circumference of a circle
400

sec x = -1. What is x? [pi/2, 4pi]

What is pi & 3pi? 

500

In what quadrant is the angle 7 radians located?

Q I (There are ~6.28 radians in a complete circle, so 7 radians is QI)

500
What is 204˚ in radians (as a fraction in simplest form)?
17π/15
500
Evaluate csc (π)
undefined
500
What is a radian?
A radian is the measure of an angle that subtends an arc whose length is equivalent to the radius of the circle.
500

csc x = -1. What is x? [2pi,4pi]

What is 7pi/2?

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