TRIGONOMETRY REVIEW
1. The point is on a unit circle. Find the coordinates of its reflection across the origin, the x-axis, and the y-axis.
2. On a unit circle, mark and label the points determined by
3. Sketch a graph of
4. What is the range of cosine function?
5. What is the period of the sine function?
6. What is the domain of the sine function?
7. What is the amplitude of the cosine function?
8. Complete the following table:
x / / /sin x
cos x
9. Sketch a graph of the tangent function.
10. What is the period of the tangent function?
11. What is the domain of the tangent function?
12. What is the range of the tangent function?
13. In which quadrants are the signs of the tangent and cosecant alike?
14. For the angles of the following measures, state in which quadrant the terminal side lies, and convert to radian measure in terms of :
a)
b)
c)
15. Convert to degree measure:
a)
b) 3 radians
16. Find the length of an arc of a circle, given a central angle of and a radius of 8 centimeters.
17. A wheel with a 14-cm diameter is rotating at a speed of 10 revolutions per second. What is the velocity, in cm/sec of a point on the rim.?
18. Find the six trigonometric function values for the angle shown:
- 6
- 5
19. Find the following exactly:
a)
b)
c)
20. Given that and that the terminal side is in quadrant II, find the other five trigonometric function values.
21. Convert to degrees and minutes
22. Convert to degrees.
23. Use a calculator to find each of the following:
a)
b)
c)
d)
e)
f)
24. Use a calculator to find the acute angle that is a solution of the equation. Give the answer in radians:
a)
b)
25. Use a calculator to find in the interval indicated:
a)
b)
26. Sketch the graph of .
27. What is the period of the function in Question 26?
28. What is the phase shift of the function in Question 26?
29. A point on the unit circle has an x-coordinate of What is the y-coordinate?
30. Solve the following equations, if possible:
a)
b)
c)