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Pre-Calculus/Trig3 Review Chapter 4.1-4.4 Names Block Date 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. 2 5 23 4 2. –95o 3. 4. 660° Quadrant Quadrant Quadrant Quadrant Ref. Angle Ref. Angle Ref. Angle Ref. Angle Determine the measurement of the angle that is drawn. 5. 6. Convert the following from degrees to radians. Convert the following from radians to degrees. 5 8 9. 10. 4 3 7. –224o 8. 750o Find a positive and negative coterminal angle for each of the following. 14 11. 225o 12. 13. 9 5 14. 12 5 15. Find the arc length and the area of the sector given: r = 5cm and = 45o. 16. Find the angle of the sector given d = 14 mm and s = 27 mm. Then determine the area of the sector. Write the (x , y) coordinates of the following angles. Then find the exact value. 17. cos 240o 18. csc 330o 19. sec -2 20. sin Find the values of in both degrees and radians given the following information. 2 21. sin = 22. tan = 1 2 10 3 23. sec = The terminal side of the angle contains the following point. Find the values of the six trigonometric functions for the following points. 24. (4, -4) 25. (0, -7) sinθ = cscθ = sinθ = cscθ = cosθ = secθ = cosθ = secθ = tanθ = cotθ = tanθ = cotθ = Given the following, state the six trigonometric ratios. 17 26. sec = , Quad III 8 27. tan = 3 , Quad I 3 sinθ = cscθ = sinθ = cscθ = cosθ = secθ = cosθ = secθ = tanθ = cotθ = tanθ = cotθ = Use a calculator to find each value: (round to 2 decimal places if necessary) 28. sin 81o 29. tan - 135o 31. sec –270o 32. cot 3 4 30. cos 4 9 33. cot 90o