Trig Ratios
If cos x = 5/13, find the 5 other trig ratios
sin= 12/13, tan = 12/5, cot = 5/12, sec = 13/5, csc = 13/12
convert 120 degrees into radians
2pi/3
Find sine and cosine of 5pi/6
sine = 1/2
cosine= -sqrt (3)/2
What is the period of the sine graph?
360 (2pi)
y =.5 cos 2x , what is the period and amplitude?
period is pi and amplitude is .5
The sun shines at an angle of 30 degrees with the ground. How long is a shadow cast by a 72 in tall fence post?
124.7 in
convert 11pi/6 into degrees
330 degrees
Find tan of 5pi/6
-1/sqrt3
Take the reciprocal of the period
y = 4 sin (x - pi) + 2
what is amplitude, period, phase shift and vertical shift
amp= 4
period = 2pi
phase shift= pi to the right
vertical shift= up 2
if sec x = 52/20, what does cot equal?
20/48
quad 3
find sec -390
2/sqrt 3
Describe how to find the amplitude of a sine or cosine graph.
Its the distance from the midline to the max or min
y = .75 cos [3(x + pi/6)] - 5
which are true?
a) the amp is 3/4
b)the period is 3
c) phase shift is pi/6 to the right
d)vertical shift is 5 down
sec 15 = csc ?
75
give reference angle for 135 degrees
45
what is sin x if cos x = 4/5 and the angle is in quad 2?
sin x = 3/5
What is the domain and range of y = cos x
domain is all reals
range is everything from -1 to 1
find equation for graph shown
y = 4 cos (x- pi/2) + 2
what are the sin and cos ratios for 45 degrees
1/sqrt 2
what quadrants is tangent negative in?
quad 2 and 4
find sec, csc and cot for 13pi/4
sec= -sqrt 2
csc = - sqrt 2
cot = 1
y = sin x, what is the amplitude, period, frequency and midline
amp = 1
period = 2pi or 360
frequency is 1/(2pi)
midline is the x axis or y = 0
graph y = 2 sin (x + pi) -2
I will check answer