Study Guide
Trig Test #1
Honors Algebra 2
1.
2.
Without a calculator, fill in all the blanks of a unit circle
Change degrees to radians. Give the answer in exact form (with a pi) and also be able
to give approximate answers in decimal form. Why can't the decimal be exact?
3.
Change from radians back to degrees; decimal answers are fine here.
4.
Given an angle ( in either degrees or radians), determine the quadrant where it terminates.
5.
Given an angle ( in either degrees or radians),
determine its reference angle (always positive distance to x-axis).
6.
Given an angle ( degrees or radians), write the expression that represents all angles coterminal with it.
7.
Given an angle (degrees or radians), give one positive and one negative angle coterminal with it.
8.
Find the EXACT value of 6 trig functions of common angles using your unit circle knowledge.
9.
Find the value of all 6 trig functions given a triangle with 3 side lengths given.
10.
Find the value of all 6 trig functions given a triangle with 2 side lengths given.
11.
Find the value of all 6 trig functions of a special triangle with 1 side length given.
12.
Create a right triangle given an ordered pair on the terminating side and find the value of
all 6 trig functions given the ordered pair of a point on the terminating side of the angle.
13.
Use your calculator to find sin, cos, tan, csc, sec, cot of any given angle.
14.
1 revolution=1 rotation = 2 pi radians = 360°
15.
What is standard position?
It means the vertex is at the origin and the initial side of the angle is the positive x-axis.
16.
Which direction is the positive direction for angles? How can you have a negative angle?
17.
Tangent is the slope of the terminating side of an angle of the unit circle. It is also sine over cosine.
18.
Know which quadrants are positive or negative for all 6 trig functions. All students take Calculus
19.
Memorize both special triangles - be able to label all sides and angles.
20.
Approximately how many degrees are in a radian? 57.3
21.
How many radians are in a straight line (approximately? 3.14159 exactly? π )
22.
What are quadrantal angles? Examples
23.
Which trig functions are even (symmetric over the y axis) and which ones are odd (symmetric with
respect to the origin)
24.
Graph all 6 trig functions
• give the domain and range of each,
• be able to identify where the x-intercepts and vertical asymptotes are for each,
• which ones are continuous
• which ones have a period of 2 π and which 2 have a shorter period of π
• why are there vertical asymptotes for cosecant everywhere sine has an x-intercept
• why is cosine used as a guide function when graphing secant
• why does tangent have the same x-intercepts as sine
• why is cotangent undefined everywhere sine has an x-intercept
25.
Memorize the reciprocal identities
26.
Memorize the quotient identities
27.
Be able to label sine, cosine and the number 1 correctly on a Q1 butterfly wing triangle.