Degrees/Radians
Unit Circle
Angle Measurements
Find all six
Trig ratios for triangles
100
Convert to radians: 50 degrees
5pi/18
100
sin(3pi/2)
-1
100
Find the measurement of the angle
155 degrees
100
Find the values of all six trig functions for 30 degrees.
sinx = 1/2 tanx = root3/3 cscx = 2
cosx = root3/2 cotx = root3 secx = 2root3/3
100
Find tan(Y)
7/4
200
Convert to degrees: pi/8
22.5 degrees
200
cos(11pi/6)
sqrt3/2
200
Which measurements are coterminal to 100 degrees?
a. 300 degrees b. -260 degrees
c. 460 degrees d. 80 degrees
b. -260 degrees
c. 460 degrees
200
Find the values of all six trig functions for pi/4
sinx = root2/2 tanx = 1 cscx = root2
cosx = root2/2 cotx = 1 secx = root2
200
Find sin(Z)
4root65/65
300
Convert to radians: 1 degree
pi/180 radians
300
tan(pi/2)
undefined
300
Find the reference angle for 230 degrees
50 degrees
300
Find the values of the six trig functions for pi/2
tanx = undefined cotx = 0 sinx = 1
cosx = 0 cscx = 1 secx = undefined
300
Find the value of x. Round to the nearest tenth.
55.6
400
Convert to degrees: pi/20
9 degrees
400
sec(pi/3)
2
400
Find a negative angle measurement and a measurement greater than 360 coterminal with 231 degrees
-129 degrees and 591 degrees
400
Find the values of the six trig functions for the angle 3pi/2.
sin = -1 csc = -1 tanx is undefined
cosx = 0 secx is undefined cotx = 0
400
Use a trigonometric ratio to find the value of x. Round to the nearest tenth.
6.2 cm
500
Convert to degrees: 2 pi radians
360 degrees
500
tan(11pi/4)
-1
500
A reference angle is 36 degrees and lies in Quadrant 2. What is a possible positive measure for this angle?
144 degrees
500
Find the values of all six trig functions for 60 degrees
cosx = 1/2 secx = 2 tanx = root3
sinx = root3/2 cscx = 2root3/3 cotx = root3/3
500
Given the right triangle below, give the six trigonometric ratios for angle X
sin(X)= 3/5 csc(X)= 5/3
cos(X)= 4/5 sec(X)= 5/4
tan(X)=3/4 cot(X)=4/3