Precalculus
posted by Melinda .
Verify these answers
1.Which of the six trigonometric functions are positive in quadrant III?
Answer: tangent and cotangent

2. What is the amplitude of the function y = pi/2 sin(6/3t  pi/6) + 14?
Amplitude: pi/2

3. What is the function of cos that has an amplitude of 4, a period of 2pi and has a point at (0,2)?
Answer: y=4cos(x0) + 2

4. The height of a swing is modelled by the function h(t) 35sin(8pi x t)+74. What are the highest and lowest points the ball reaches where h(t) is in cm?

when x=0, cos(0) = 1
so you want
y = 4cos(x)  2
74 ± 35