Trig of any angle
Exact Trig Values
part 1
part 1
Exact Trig Values part 2
Characteristics of Trig Functions
asymptotes
Graphing Trig Functions
Trig History
2
What two quadrants can contain an angles that has a cos value of 1/2?
I and IV
2
The point
(-sqrt2/2, sqrt2/2)
is on the unit circle. Find cos θ.
cos theta = -sqrt2/2
2
The point
(-sqrt3/2, -1/2)
is on the unit circle. Find sin θ.
sin theta = -1/2
2
What is the amplitude and period of the following? f(x) = -8cos(5x - 4) + 7
What is Amp: 8, Period 2pi/5
2
name all the trig functions that have asymptotes
csc, sec, cot, tan
2
What is the period for each trig function with no transformations?
cot/tan: pi
sin/cos/sec/csc: 2pi
2
Name the ancient civilization that used trigonometry to create pyramids.
egyptians
2
What are the coordinates on the unit circle of the angle
(7\pi)/6
?
(-\sqrt3/2,-1/2)
2
The exact value of
tan(120^@)
What is
-sqrt3
?
2
Find the exact value of:
sec((7pi)/4)
\sqrt2
2
Identify the phase shift of the following function:
f(x) = 2cos(x + pi/7)
shifted pi/7 to the left
2
find the asymptotes of:
y=3tan\theta
x=\pi/2+k\pi
2
The range of
f(x)=2cos(x)
-2 and 2
2
The word trigonometry comes from the Greek words trigonon and metron. Name the meaning of the word "trigonon"
triangle
3
What is the sin of an angle that contains an endpoint of (-8,15)?
15/17
3
Find the exact value of
csc(390^o)
2
3
Find the exact value of:
cos(990^o)
0
3
What is the period of the following trig function:
f(x)=-2sin(x/3-2)+4
6pi
3
find the asymptotes of:
y=cot(2\theta )
x=\pi/2k
3
Name the trig function graphed below:
tangent
3
Name the discipline of science that is accredited with the discovery of the sine and cosine function.
astronomy
3
What is the csc of an angle that contains an endpoint of (-1,-2)?
-\sqrt(5)/2
3
The exact value of
tan(-(13pi)/6)
What is
-sqrt3/3 ?
3
sec(-150^o)
Find the exact value of
(2\sqrt3)/3
2/\sqrt3
3
Identify the phase shift of the following function:
f(x) = 2cos(4x -2pi)
shift to the right
\pi/2
3
Find the asymptotes:
y= csc(\theta /3-(5\pi)/3)
x=5\pi+3\pik
2\pi+3\pik
3
Write an equation for the sin function: 
f(x)=sinx-3
3
The most ancient device found in all early civilizations is a 'Shadow Stick', which used the shadow to do what?
tell time of day
4
Find the remaining 5 trig functions of θ, given:
sin theta =5/13, pi/2<theta<pi
cos theta =-12/13,
tan theta = -5/12,
csc theta = 13/5,
sec theta = -13/12,
cot theta = -12/5
4
Find the exact value of:
2sin 45^o + 6cos 30^o
sqrt2+3sqrt3
4
Find the exact value of:
(sin 60^o) (tan 30^o)
(sqrt3/2)(sqrt3/3)=3/6=1/2
4
Describe all the transformations: (amplitude, period, phase shift)
f(x)=3/2sin(2x+3\pi)
amplitude change of 3/2
period is pi
left phase shift 3pi/2
4
Find the asymptotes:
y=sec(2x+(7\pi)/6)
x=-\pi/3+\pi/2k
4
What is the equation of the graph below?
y=-2sin(2x)
4
Name one of three mathematicians of the 17th and 18th century that are credited with the development of modern trigonometry during the western Age of Enlightenment.
Newton
Euler
Sterling