Unit 2 Review



~Make sure that you know the unit circle and that you can evaluate the trig functions of any value on it:

1. [pic]= [pic] 2. [pic]=[pic] 3. [pic]= [pic] 4. [pic]= -1

~You must also use the unit circle to solve equations for all values [pic]:

5. [pic] 6. [pic] 7. [pic] 8. [pic]

~When you are given a value not on the unit circle, you must use your calculator:

9. [pic]=2.0765 10. [pic]=1.5270

11. [pic]=0.5338 12. [pic]=1.7013

~ Evaluate the following inverse trig functions to find the radian measure of the angle:

13. [pic]= .3499 14. [pic]= 1.2791

15. [pic] 16. [pic]

~You have to know where particular trig functions are positive and negative:

17. Is [pic] positive or negative in quadrant IV? negative

18. Which quadrant are you in if [pic]and [pic]? III

~You must be able to find a positive coterminal and a negative coterminal angle, graph the angle in standard form and state the reference angle:

19. Given the angle [pic], find all of the above mentioned information:

Coterminals: [pic] [pic] Reference Angle: [pic]

Standard position: terminal side is in quadrant one and the angle is measured counterclockwise

20. Given the angle [pic], find all of the above mentioned information:

Coterminals: [pic] [pic] Reference Angle: [pic]

Standard position: terminal side is in quadrant one and the angle is measured counterclockwise

21. Change #23 to a radian and #24 to a degree [pic] and [pic]

22. Convert 67.9362o to Degrees, Minutes, Seconds [pic]

23. Convert [pic] to Decimal Degrees 45.4439[pic]

~You must be able to find the EXACT VALUE of any trig function given particular pieces of information:

24. Given that the terminal side of [pic] lies on the line y=-3x in quadrant II, find the value of [pic]

25. Given that [pic] and [pic], find [pic]

[pic] *Since theta is in quadrant IV, negative theta is in quadrant I

26. Given the point (-4, -6) on the terminal side of [pic], find the value of [pic] (or any of the other six trig functions) [pic]

~You must know right triangle trig and how to use it to solve various word problems:

27. A guy wire stretches from the top of an antenna tower to a point on level ground 18 feet from the base of the tower. The angle between the wire and the ground is [pic]. How high is the tower? 3.0555ft

28. A plan takes off at an angle of [pic] traveling at the rate of 200 feet/second. If it continues on this flight path at the same speed, how many minutes will it take to reach an altitude of 8000 feet? 6.3778 min

29. A rocket shoots straight up from the launch pad. Five seconds after lift-off an observer 2 miles away notes that the rocket’s angle of elevation is [pic]. Four seconds later the angle of elevation is [pic]. How far did the rocket rise during those 4 seconds? 1.6163 miles

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Name: _____Answer Key______

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