Show:
Angles and Radian Measure
Translations of a Trig Graph
Finding Amplitude
and Period
Writing Sine and Cosine Functions
Other Trig Functions
100
Change 240° to radian measure in terms of π
4π /3
100
Write a cosine function with the following translations 4 units right, 3 units down
y = cos (x - 4) - 3
100
Find the period. y= sin 2x
π
100
Write an equation of the sine function with each amplitude and period. amplitude=3, period=π/4
y= +/- 3 sine 8θ
100
Find the value tan(3π/2)
undefined
200
Evaluate sin 3π /4
√2/2
200
Write a sine function with the following translations 2 units left, 1 unit down
y = sin (x +2) -1
200
Find the amplitude. y = -2 cos x
1
200
Write an equation of the sine function with each amplitude and period amplitude= 4, period= 3π/4
y = +/- 4sin 8/3 θ
200
Find the value csc (3π/2)
-1
300
Change 5π/12 radians to degrees
75°
300
Write a cosine function with the following amplitude is 2, 3 units right
y = 2cos(x - 3)
300
Find the period and amplitude. y = -.5 cos 8θ
amp = .5, per = π/4
300
Write an equation of the cosine function with each amplitude and period. amplitude = 5, period = π/7
y= +/- 5cos 14 θ
300
Find the value cot(π/2)
0
400
Convert 280° to radians in terms of π
14π/9
400
Write a sine function with the following translations reflection, period is pi, moved 1 units up
y = -sin2x +1
400
What does the value 'b' stand for in the equation y = a cos b x?
b is the number of cycles a graph completes between 0 and 2π
400
Write an equation of the cosine function with each amplitude and period, that starts at its minimum value. Amplitude = 5, Period = 3π
y = - 5cos 2/3 θ
400
Find the value csc(5π/6)
2
500
Which angle in Quadrant II has a cosine value of -1/2?
240° or 4π/3 radians
500
Write a cosine function with the following translations amplitude is 3, period is 2π, moved 2 units left, and 8 units down
y = 3 cos (x + 2) - 8
500
When would 'a' in the function y = a cos b x be a negative value?
The graph starts at it's minimum value.
500
Write an equation for a sine function with maximum at (1, 4) and minimum at (3, -4) and a period of 4
y = 4 sin (π/2) x
500
Find the period and two asymptotes y = tan 4 θ
period = π/4, asymptotes at x = +/- π/8