Pre-Calculus/Trig 3



Pre-Calculus/Trig 3 Name __________________________________

4.1 – 4.4 Warm Up

Sketch the following in standard position. Convert to the opposite units.

Determine the quadrant the angle is in. 3. 42o 4. [pic] 5. – 4

Then determine the reference angle.

1. [pic] 2. –520o

Find a positive and negative coterminal

angle for each of the following.

6. 420O 7. [pic]

Quadrant Quadrant

Ref. Angle Ref. Angle

8. Find the arc length and the area of the sector. ( = 60o, r = 3in.

9. Given the point (6, -8) 10. Given that cot θ = [pic] in Quad II, find the values of the six trig function. state the six trig ratios.

sinθ = cscθ = sinθ = cscθ =

cosθ = secθ = cosθ = secθ =

tanθ = cotθ = tanθ = cotθ =

Use a calculator to find each value: (round to 3 decimal places if necessary)

11. cos45o 12. cot [pic] 13. sin – 270o 14. sec [pic]

Pre-Calculus/Trig 3 Name __________________________________

4.1 – 4.4 Test Review

Sketch the following in standard position.

Determine the quadrant the angle lies in (if it is on an axis, state which axis it is on and if it is + or – axis)

Then determine the reference angle.

1. [pic] 2. –95o 3. [pic] 4. 10

Quadrant Quadrant Quadrant Quadrant

Ref. Angle Ref. Angle Ref. Angle Ref. Angle

Convert the following from degrees to radians. Convert the following from radians to degrees.

5. –224o 6. 750o 7. 5 8. [pic]

Find a positive and negative coterminal angle for each of the following.

9. 225o 10. [pic] 11. [pic] 12. [pic]

13. Find the arc length and the area of the sector given: r = 5cm and [pic]= 42o.

14. Find the angle of the sector given d = 13mm and s = 27 mm. Then determine the area of the sector.

The terminal side of the angle contains the following point.

Find the values of the six trigonometric functions for the following points.

15. (4, -4) 16. (-3,4)

sinθ = cscθ = sinθ = cscθ =

cosθ = secθ = cosθ = secθ =

tanθ = cotθ = tanθ = cotθ =

Given the following, state the six trigonometric ratios.

17. sec( = [pic], Quad III 18. tan ( = [pic], Quad I

sinθ = cscθ = sinθ = cscθ =

cosθ = secθ = cosθ = secθ =

tanθ = cotθ = tanθ = cotθ =

Use a calculator to find each value: (round to 3 decimal places if necessary)

19. sin 81o 20. tan - 135o 21. cos [pic]

22. sec –270o 23. cot [pic] 24. cot 90o

Find the exact value of each trigonometric function. (NO Calculator!)

25. cos 240o 26. csc 330o 27. sec -2(

28. sin [pic] 29. [pic] 30. [pic]

Solve for the angle given the trig function and its value. (NO Calculator)

31. [pic] 32. [pic]

33. [pic] 34. [pic]

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