Studied by 87 peopleWrite an equation of the given trig function:
sin
Amp = 3
Period = 4π
Phase Shift = π
Vertical Shift = -2
Write an equation of the given trig function:
sec
Amp = 1
Period = 90
Phase Shift = 45
Vertical Shift = 1
Amplitude = 6
Period= 360
Phase Shift = -45
Vertical Shift = 2
Amplitude = None
Period = 4
Phase Shift = None
Vertical Shift = -3
A carousel makes 2.625 revolutions per minute. Convert revolutions per minute to radians per second.
0.275 radians / second
The tires on a car have a diameter of 30 inches. If the tires are running at a rate of 2000 revolutions per minute, determine the car’s speed in miles per hour. Hint: Remember 1 mile = 5280 feet.
178.5 mph
A bicycle wheel is 27 inches in diameter. Suppose the wheel turns at a constant rate of 2.75 revolutions per second. What is the linear speed in miles per hour of a point on the tire.
13.25 mph
Find the value of θ: sin θ = -1
θ = 270° / 270° + 360°k
Cos θ = 0
θ = 90°
Sec θ is undefined
θ = 90°
A leaf flots on the water bobbing up and down. The distance between its highest and lowest point is 4 cm. It moves from its highest point down to its lowest point and back to its highest point every 12 seconds. Write a function that models the movement of the lear in the relationship to the equilibrium point.
y = 2 sin 30x
Write a sine function which models the oscillation of tides in Savannah, GA, if the equilibrium point is 4.24 feet, amplitude is 3.55 feet, phase shift -4.68 hours and period is 12.8 hours.
y = 3.55 sin π/6.4 (x + 4.68) + 4.24
Write the transformed trig function:
y = 2 cos 2 (x - π) - 3
Write the equation for the inverse of the function AND graph both the original function and its inverse:
y = arcsin(x)
Inverse: f ⁻¹(x) = sin x
Write the equation for the inverse of the function AND graph both the original function and its inverse:
y = Cos (x) - 3
Inverse: f ⁻¹(x) = Cos ⁻¹ (x + 3)
Graph y = Tan (x)
Evaluate the following:
½
Evaluate the following:
0
Note
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