PRECALCULUS ADVANCED



PRECALCULUS ADVANCED

REVIEW WORKSHEET ON 4.1 & 4.4

Draw the following angles. Be sure to draw an arrow to show the direction of the rotation.

1. 310° 2. [pic] 3. [pic]

__________________________________________________________________________________

Find two coterminal angles, one positive and one negative, for each of the following angles. (Leave π in answers in problem 8.)

4. [pic] ___________________ 5. [pic] __________________

__________________________________________________________________________________

6. Find the complement and supplement of an angle of measure [pic].

Complement = Supplement =

__________________________________________________________________________________

7. Convert 100° to radians. Leave [pic] in 8. Convert [pic] to degrees.

your answer.

__________________________________________________________________________________

9. Express in decimal degrees (give 3 decimal 10. Express in degrees-minutes-seconds: 72.638°

places): [pic]

__________________________________________________________________________________

11. Find the length of an arc on a circle of radius 8 cm with a central angle of [pic] radians.

Leave [pic] in your answer.

__________________________________________________________________________________

12. Find the area of the sector of a circle of radius 6 cm with a central angle of

[pic] radians. Leave [pic] in your answer.

TURN->>>

Draw the angle [pic] in standard position where the terminal side passes through the given point. Then draw the reference triangle, and find the exact values of the six trigonometric functions of [pic]. Be sure to simplify your answers.

13. [pic] [pic] = sec [pic] =

[pic] = csc [pic] =

tan [pic] = cot [pic] =

__________________________________________________________________________________

Draw the reference triangle, and find the exact values of the six trigonometric functions of [pic],

given the following information. Be sure to simplify your answers.

14. [pic] and [pic] is in Quad. II [pic] = sec [pic] =

[pic] = csc [pic] =

tan [pic] = cot [pic] =

__________________________________________________________________________________

15. Name the quadrant, and then give the sign of each function.

|Angle |Quad. |cos[pic] |sin[pic] |tan[pic] |sec[pic] |csc[pic] |cot[pic] |

| 200° | | | | | | | |

| [pic] | | | | | | | |

| [pic] | | | | | | | |

__________________________________________________________________________________

Use your calculator to evaluate the following, correct to three decimal places.

16. [pic] 17. [pic] 18. [pic]

__________________________________________________________________________________

Determine [pic] in degrees, [pic] Give your answers correct to three decimal places.

19. [pic] 20. [pic] 21. [pic]

__________________________________________________________________________________

Determine [pic] in radians, [pic] Give your answers correct to three decimal places.

22. [pic] 23. cos [pic] = .217 24. [pic]

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download