Unit 7 Test Review Name: _______________________
1. A point, R, lies on the unit circle, and its coordinates are . What is the sine of the angle?
2. Convert -560 to radians.
3. Sketch on the coordinate plane, state which quadrant the terminal side lies, and identify the reference angle.
A black cross on a white background
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Quadrant: _________
Reference Angle: ________
4. Sketch 655 on the coordinate plane, state which quadrant the terminal side lies, and identify the reference angle.
A black cross on a white background
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Quadrant: _________
Reference Angle: _________
5. In which quadrant does the point, lie?
6. How do you know whether a trig function is a sine or cosine function?
7. In what quadrant is your cosine value negative and your sine value positive?
8. Convert into degrees.
9. Answer the questions about the graph below. A graph of a function
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1. Sine/Cosine:
2. Midline Equation:
3. Amplitude:
4. Period:
5. B – Value:
6. Equation:
10. Given the equation , find….
Amplitude: Midline:
Period:
11. Write the equation of the graph below. A graph of a function
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Midline: Amplitude:
Period: Sine/Cosine:
B – Value:
Equation: __________________________________
12. A Ferris Wheel takes 30 minutes to complete one full rotation. The starting height of a passenger on the ride is 2 feet and the passenger is 90 feet in the air when the Ferris Wheel is at its highest point.
1. What is the period?
2. What is the maximum height?
3. What is the minimum height?
4. How many minutes will it take the passenger to reach the highest point on the Ferris Wheel?
A graph with a red line
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13. The graph of the function to the right shows tomorrow’s beach tide cycle, beginning at midnight. Stevie wants to collect seashells, and finding shells is easiest at low tide. At what time(s) should Stevie go to the beach tomorrow?
14. The following trig function models the position of a rung on a waterwheel.
Where t = seconds and
y = number of feet above water level
1. How high would the rung be at 18 seconds?
2. What is the highest point on the waterwheel?
3. What is the lowest point?
4. How long in seconds does it take to complete one revolution?
15. Label the parts of the given graph: period, amplitude, and midline.