Conversions
What is 125o in radians?
(25*pi)/36 or 2.18166
See Desmos Graph 1, determine the equation.
y=3*sin(2x)-1
What is the mapping formula for the function:
y= -2 * cos (3x) +4
(x,y) -> (x/3, -2y+4)
What is tan(2.7)?
-0.4727276291
In the interval [0,2pi], where is the function f(x)=sinx zero?
pi/2, 3*pi/2
What is 1.4 radians in degrees?
80.2o
See Desmos Graph 2, determine the equation.
y=-2*cos(x-(pi/2))
What is the phase shift of the function: y=-3sin(2x-4)
Shift 2 right
What is sin(3.2)?
-0.05837414342
See DESMOS Graph 6. State the intervals shown on the graph where the function has a positive rate of change.
(0,pi/3) and (2*pi/3, pi)
What is 315o in radians?
(7*pi)/4
See Desmos Graph 3, determine the equation.
y=sin(2(x+(pi/6)))
What is the maximum value of the function: y=2sin(x+pi/2)-3
-1
Determine the exact value for cos(3pi/4).
-sqrt(2)/2
See DESMOS Graph 6. State the intervals shown on the graph where the function has a negative rate of change.
What is (5*pi)/3 radians in degrees?
300o
See Desmos Graph 4, determine the equation.
y=-sin(x)-4
What is the period of the function: y=4cos((pi/2)(x))-4?
Period=4
Determine the exact value for tan(11pi/6).
-sqrt(3)/3
What is the average rate of change for y=0.25*cos(8x)+6 over the interval pi/4<x<pi.
0
What is 150o in radians?
(5*pi)/6
See Desmos Graph 5, determine the equation.
y=cos(4x)+1
What is formula for the x-intercepts of y=sinx?
k*pi
What are the 6 trigonometric ratios for a terminal arm passing through the point (3,2)?
sin(theta) = (2*sqrt(13))/13
cos(theta) = (3*sqrt(13))/13
tan(theta) = 2/3
csc(theta) = sqrt(13)/2
sec(theta) = sqrt(13)/3
cot(theta) = 3/2
Determine the instantaneous rate of change, using h=0.01, for f(x)=1.5*cos(0.5x)+2, at x=4.
-0.6811899369