PRECALCULUS: QUIZ Ch



Pre-Calculus Review Name _______________________

5.1 – 5.3 – Trigonometric Functions Date __________ Period _______

(A calculator is only allowed on #19 – 24)

1.] Sketch the angle whose measure is 200( (in standard position).

__________ 2.] What is the domain of the sine function?

__________ 3.] What is the period of the cosecant function?

__________ 4.] Express 175( in radians. Give answer in terms of (.

__________ 5.] Express [pic] in degrees.

__________ 6.] If sin[pic] < 0 and tan[pic] >0, in which quadrant does the terminal side of [pic] lie?

Identify the EXACT values of the 6 trig functions for each of the following.

7.] The terminal side of [pic] in standard position passes through ((10, 24).

[pic] = ______ [pic]= ______ [pic]= ______

[pic]= ______ [pic]= _____ [pic]= ______

8.] [pic]

[pic]= ______ [pic]= ______ [pic]= ______

[pic]= ______ [pic]= ______ [pic]= ______

Determine the EXACT values for the following.

__________ 9.] sin[pic] __________ 10.] cos 495(

__________ 11.] tan (-210() __________ 12.] [pic]

__________ 13.] [pic]

Use the following information about angle [pic] to find the other trig functions.

14.] [pic]and [pic] is in quadrant IV.

[pic]= ______ [pic]= ______

[pic]= ______ [pic]= ______ [pic]= ______

__________ 15.] If cos [pic] = [pic] find the EXACT value of sec([pic] + 2().

__________ 16.] Given sin [pic] = ( [pic] find the EXACT value of sin (([pic]).

__________ 17.] Given cos [pic] = [pic] , find sec ( - [pic]).

__________ 18.] Given csc[pic] = [pic] and [pic] is in Quadrant III, find the EXACT value of cot [pic].

Calculator allowed problems (Be careful of what MODE you are in!) Round answers to 3 decimal places.

__________ 19.] [pic][pic] ? __________ 20.] sec[pic][pic] ?

__________ 21.] Find the arc length s, shown in the figure.

s

7 in

__________22.] If the angle above measured [pic], what would be the AREA of the sector?

__________ 23.] Find the distance between two cities, one directly north of the other, if one is

located at latitude[pic]N, the other at latitude [pic]N.

(The radius of the earth is approximately 3960 miles.)

__________ 24.] A bicycle tire has a radius of 1.5 feet. If in 4 seconds, the bicycle travels

400 feet, what is the tires angular speed? What is its linear speed?

__________

Answers

1. 2. Domain: (-∞,∞) 3. [pic]

4. [pic] 5. [pic] or [pic] 6. III

7. [pic] 8. [pic]

9. [pic] 10. [pic] 11. [pic] 12. 1 13. 1

14. [pic] 15. [pic] 16. [pic]

17. [pic] 18. [pic] 19. 8.497 20. 5.759

21. 6.109 inches 22. 59.865 inches[pic]

23. 1303.222 miles 24. [pic] [pic]

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