question archive 1) Consider the function y = cos x for 8π ≤ x ≤ 10π

1) Consider the function y = cos x for 8π ≤ x ≤ 10π

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1) Consider the function y = cos x for 8π ≤ x ≤ 10π.

a) Identify the x-intercepts of the function on this interval (where will the function cross the x-axis between 8π and 10π).

b) Identify the maximum value of the function on this interval.

c) Identify the minimum value of the function on this interval.

d) Sketch the graph of the function on the interval.

3. Identify the amplitude and period of each function, then graph the 

function.

a) y = - cos (6θ) 

b) y = 3 sin (θ/4)

4. Write the equations of the sine function with an amplitude of 16 and period of 30.

5. Write the equations of the cosine function with an amplitude of 2/4 and a period of 2π/3.

6. Find the angular displacement of 2.9 revolutions. 

7. Write the equation of the cosine function with amplitude of 2/3, period of 3π, phase shift of -2π and vertical shift of 3 units down.

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