IM3.6.7 Exit Ticket
1. What is the phase shift of [math]f\left(x\right)=\frac{5}{3}cos\left(6x-2\pi\right)+3[/math]?
2. Name the amplitude and vertical shift of [math]f\left(x\right)=\frac{1}{2}cos\left(3x+\pi\right)-3[/math] .
3. Which of the above graphs represents [math]y=-2cos\left(3x-\frac{\pi}{3}\right)+1[/math]?
Brittany is riding a tricycle around the neighborhood. The back wheels each have a diameter of 6 inches, and the front wheel has a diameter of 12 inches. Her bike is moving at a speed of 12 inches per second.
4. How long does it take for a point on the front wheel to make one revolution?[br]5. How long does it take for a point on the back wheel to make one revolution?[br]6. are the tires moving at different speeds (be very clear and precise in your answer)?[br]
7. How far off the ground is the point in the diagram above if the circle represents the front tire?[br]8. Same question for the back tire.
9. If (4,-5) is the endpoint of the terminal side of an angle in standard position, find the angle (in degrees, 3sf).[br]10. If sinθ=0.75 and θ is an angle in the second quadrant, find θ (in degrees, 3sf).