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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(x-0) + 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?

  • Precalculus -

    when x=0, cos(0) = 1
    so you want
    y = 4cos(x) - 2

    74 ± 35

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