Expert answer:1) A fan motor turns at a given angular speed. How does the angular speed of the tips of the blades change if a fan of greater diameter is installed on the motor? Explain. 2) In your own words, explain the difference between 1 radian and 1 degree.
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Radians and Degrees
1) A fan motor turns at a given angular speed. How does the angular speed of the tips of the blades
change if a fan of greater diameter is installed on the motor? Explain.
2) In your own words, explain the difference between 1 radian and 1 degree.
The Unit Circle Apply
Determine whether each statement is True or False. Justify your answer.
1.
sin a = sin(a – 6π)
2.
Right Triangles
1. You are given the value of tan Θ. Is it possible to find the value of sec Θ without finding the measure of
Θ? Explain.
Trigonometric Functions of Any Angle
1. Consider an angle in standard position with r = 12 centimeters, as shown in the figure. Write a short
paragraph describing the changes in the magnitudes of x, y, sin Θ, cos Θ, and tan Θ as Θ increases
continually from 0° to 90°.
Trigonometric Functions
1. Use a graphing utility to graph the function y = d + a sin (bx – c) for different values of a, b, c, and d.
2. Write a paragraph describing the changes in the graph corresponding to changes in each constant.
Inverse Trigonometric Functions
Define the inverse secant function by restricting the domain of the secant function to the
intervals:
and sketch the inverse function’s graph.
…
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