Solving Trig Equations
Solve for x: sinx=-1
Give your answer in degrees.
What is 270o?
I drive 50 miles north and 30 miles south. What is my displacement?
What is 20 miles?
Rewrite 90o in radian form.
What is pi/2?
What is "yes"?
What is the gravitational constant?
Solve for all values of x: 2cosx=0
Give your answer in degrees.
What is 90o and 270o?
An automobile is moving when the driver brakes. If the initial velocity is +15.0 m/s and 5.0 s is required to slow down to +5.0 m/s, what was the car’s acceleration?
What is 2 m/s2?
What is the amplitude of y=2sinx+1?
What is 2?
Simplify: 3x5-2x+9-(x5-4x2-1).
What is 2x5+4x2-2x+10?
What force is required to accelerate a 3,000 kg car at 1.5 m/s2?
What is 4,500 N?
Solve for all values of x: tanx-3=-2
Give your answer in degrees.
What is 45o?
If an automobile with a velocity of 5.0 m/s accelerates at a rate of 3 m/s2 for 8 s, what is the final velocity?
What is 29 m/s?
What is the vertical shift: y=-2sin(x+pi)-1? Give direction and units.
What is down 1?
Find the missing side of a right triangle with leg lengths of 6 and 8.
What is 10?
A ball of 15 kg is attached to a string of 0.6 meter spun at 3 m/s. What is the centripetal force?
What is 225 N?
Solve for all values of x: 2sinx+4=5
Give your answer in degrees.
What is 30o?
A driver brings a car to a full stop in 4 s. If the car was initially traveling at 24 m/s, what was the acceleration?
What is -6 m/s2?
What is the phase shift: y=4cos(x-pi/2)+3? Give direction and units.
What is right pi/2?
If sinx=12/13, what is cscx?
What is 13/12?
A person throws a ball upward into the air with an initial velocity of 25 m/s. How high will it go before it comes to rest?
What is 32 m?
Solve for all values of x: cos2x-cosx=0
Give your answer in degrees.
What is 0o, 90o, 270o, and 360o?
A stone is dropped from the top of a cliff. It is hits the ground after 7.5 s. How high is the cliff?
What is 276 meters?
Identify the amplitude, phase shift, and vertical shift: y=-4cos(x+pi)+2
What is amplitude: 4, Phase Shift: left pi, vertical shift: up 2
Solve for all values of x: 2sin2x-sinx=0
Give your answer in degrees.
What is 0o, 30o, 180o, and 360o?
Consider a truck weighing 16,500 N that is parked on a 30o slope. Find the force causing the truck to roll down the hill.
What is 8,250 N?