Graphing Trig Functions
Inverse Trig Functions+
Unit Circle
Find all six
Law of Sines and Cosines
100
What is the amplitude and period of the following?
f(x) = -8cos(5x - 4) + 7
What is Amp: 8, Period 2pi/5
100
Evaluate: arccos(-.5)
What is 2pi/3
100
sin(3pi/2)
-1
100
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
100
What are both the law of sines and cosines used for?
Finding missing angles and sides
200
Identify the phase shift of the following function:
f(x) = 2cos(x + pi/7)
What is shifted pi/7 to the left
200
Evaluate: arcsin(3/2)
What DNE
200
cos(11pi/6)
sqrt3/2
200
Find the exact value of each of the remaining trig functions.
cos=3/5, quadrant IV
sin=-4/5 csc=-5/4
cos=3/5 sec=5/3
tan=-4/3 cot=-3/4
200
The formula for law of sines (two pieces is fine)
sinB sinA sinC
---- = ----- = ------
b a c
300
Identify the domain and range of the following.
f(x) = 9sin(x - pi)
What is Domain: All Real Numbers, Range: [-9, 9]
300
What is Evaluate arctan(-sqrt3/3)?
-30 or -pi/6
300
tan(pi/2)
undefined
300
Find the exact value of each of the remaining trig functions.
cot=-2, sec>0
sin=-sqrt5/5 csc=-sqrt5
cos=(2sqrt5)/5 sec=sqrt5/2
tan=-1/2 cot=-2
300
The formula associated with b for law of cosines
b2 = a2 + c2 - 2accosB
400
Identify the domain and range of the following.
f(x) = 2tan(x)
What is Domain: All x except pi/2 + npi, Range: ARN
400
Name the quadrant.
csc>0, cot<0
II
400
sec(pi/3)
2
400
Find the exact value of each of the six trig functions.
(5, -12)
sin=-12/13 csc=-13/12
cos=5/13 sec=13/5
tan=-12/5 cot=-5/12
400
The solution for side b=?, when B=78', A=58', and a=33
What is 38
500
Determine the period, horizontal shift, and vertical shift of this graph.
y = -cos(3x + π/2) + 3
Period: 2π/3
Horizontal shift: π/6 left
Vertical shift: up 3
500
Name the quadrant.
sin<0, cot>0
III
500
tan(11pi/4)
-1
500
Find the exact value of each of the six trig functions.
(sqrt3/2, 1/2)
sin=1/2 csc=2
cos=sqrt3/2 sec=2sqrt3/3
tan=sqrt3/3 cot=sqrt3
500
The solution for angle C=? when b=10, a=15, and c=19
What is 96.90