Name__________________________
Trigonometry
Date___________________________
Midterm Review Sheet – Ch. 13
Academic Trigonometry Midterm Review Topics
Identifying period and amplitude from equation
Sketching angles, coterminal, positive, negative
Radians to degrees
Degrees to radians
Reference angles
6 trig definitions (as ratios and in unit circle)
Signs of trig values in different quadrants
Exact values
Period of trig functions
Graphs of sin, cos, tan functions
Inverse trig functions
Solving trig equations using inverses
Right triangle trig
Name__________________________
Trigonometry
Date___________________________
Midterm Review Sheet – Ch. 13
1. Draw the following angles and find an angle coterminal with the given angle:

200º
-80º.
4
2. Write the definitions of sec, csc, and cot in terms of sin, cos, and tan
sec x = _____________________
csc x = ______________________
cot x = ______________________
These are referred to as the ______________________ functions.
3. Find the reference angle for 130º.
Find the reference angle for 210º.
4. sine is positive in which quadrants? ______________________
cosine is positive in which quadrants? ______________________
tangent is positive in which quadrants? ______________________
cosecant is positive in which quadrants? ______________________
5. Convert 150º to radians
6. Convert

to degrees
4
Name__________________________
Trigonometry
Date___________________________
Midterm Review Sheet – Ch. 13
7. A. Find the exact values of the six trig functions for

and 90º.
2
B. Find the exact values of the six trig functions for 30º.
8. Given y = 5sin2x − 3
What is the amplitude of this function? ______________________
What is the period?__________________________
What is the maximum value? ___________________________
What is the minimum value? ____________________________
What is the vertical shift? ______________________
Graph one complete cycle:
9. Graph sin x, cos x, and tan x
Name__________________________
Trigonometry
Date___________________________
Midterm Review Sheet – Ch. 13
10. Solve the trigonometric equation in the interval 0⁰ to 360⁰, inclusive.
5sinθ + 4 = 0
11. Find all angles in the interval 0⁰ to 360⁰ whose sine is -.47. Use degrees and round your
answer to tenths.
12. In ΔABC, LC is a right angle and tan A = . Draw a diagram and find each value in fraction
form.
a. cos A
b. tan B
c. sin A
d. cos B
13. Find each length x. Round to the nearest tenth.
a.
14
b.
x
36
18⁰
x
23⁰