Basic Trig
Unit Circle
Trig Equations
Trig Graphs
Miscellaneous
100
This acronym helps us remember the three basic trig ratios.
SOH CAH TOA
100
What is tan(pi/2) ?
undefined
100
Solve for all values of x over the interval [0, 2pi) for
2cosx=-1
{(2pi)/3, (4pi)/3}
100
Given the equation y=3sin(x)+5 , what is the maximum value of the graph?
8
100
Simplify:
(cotx+tanx)/csc^2x
tan x
200
Given the triangle below, what is the measure of angle L to the nearest hundredth of a degree?
61.93 degrees
200
Evaluate:
f(x)=cos(1/2x)-sin(3x) if
f(90)
(sqrt2)/2 +1
200
Solve:
2cos(theta) sin(theta)=cos(theta)
{pi/2, (3pi)/2, pi/6, (5pi)/6}
200
What is the period of the function y=-8cos(3pix)-3 ?
2/3
200
This wild animal is 30 times more likely to be struck by lightning than people are.
Giraffe
300
What is twice the degree measure of the angle below to the nearest degree?
(16pi)/21
274 degrees
300
In what quadrant(s) is secant negative?
II and III
300
Solve for the general solutions
2sin(5x)=sqrt(3)
x=pi/15+(2pi)/5k
x=(2pi)/15+(2pi)/5k
300
What is the phase shift of the function
y=9sin(8pix-22)+9
11/(4pi) right
300
This is the only word in the English language that ends in "mt"
Dreamt
400
41 feet
400
Find all values of x over [0, 2pi) for which
3tan^2x-1=0
x={pi/6, (5pi)/6, (7pi)/6, (11pi)/6}
400
Solve over [0, 2pi)
3sec^2(x)-2tan^2(x)-4=0
{pi/4, (3pi)/4, (5pi)/4, (7pi)/4}
400
Find the equation for the graph below.
Multiple answers
400
Use the sum and difference formulas to find the exact value of
cos(375)
sqrt(2)/4-sqrt(6)/4
500
What are the reference angle rules for each quadrant for RADIANS?
I: RA = theta
II: RA = pi - theta
III: RA = theta - pi
IV: RA=2pi - theta
500
What is the range of both sine and cosine?
[-1, 1]
500
Find all solutions of the equation below on
[0, (3pi)/2)
sec(3x) + sqrt(2) = 0
{pi/4, (5pi)/12, (11pi)/12, (13pi)/12}
500
What is the amplitude of the equation below?
y=-8-4/5cos(9x-3pi)
4/5
500
Verify:
(sin y+tany)/(1+secy)=siny
Dr. Bates checks