1. Trigonometry/Precalculus ( R )
Section 5.1 – 5.3 Pre-Test

2. Section 1
For an angle in standard position, determine a coterminal angle that is between 0 o and 360 o. State the quadrant in which the terminal side lies.
1. –145 o ________________ o _________________

3. Section 2 Change each measure to degrees, minutes, and seconds.
o ___________ o _____________
Change each measure to degrees.
o 15’ 25” ___________ o 32’ 48”_________

4. Section 3
7. The sine of an acute  R of a right triangle is 3/5. Find the values of the other trigonometric ratios for this angle.
cos R = _______, tan R = _______, sec R = ________, csc R = ______, cot R = ______

5. Section 4
8. Use the unit circle to find the values of the six trig functions for each angle. Express exact values.
sin 210 = ________ cos 210 = ________
tan 210 = ________ csc 210 = _________
sec 210 = _______ cot 210 = ________

6. Section 5 9. Find the measure of the reference angle for each angle

7. Section 6
10. Suppose  is an angle in standard position whose terminal side lies in the given quadrant. For each function, find the values of the remaining five trigonometric functions for .
sin  = - ¾ ; quadrant IV
cot  = _______ , cos = _______ ,
tan  = _______ , sec  = _______ ,
csc  = _______,

8. Section 7
11. Given the coordinate of the terminal side of an angle, determine the exact function value for each of the six functions.
(5, -5) sin  = ________ , cos  = _________ ,
tan  = ______ , csc  = _______, sec  = _______ ,
cot  = ______

9. Section 1
For an angle in standard position, determine a coterminal angle that is between 0 o and 360 o. State the quadrant in which the terminal side lies.
1. –145 o ________________ o _________________
215o, QIII
30o , Q I

10. Section 2 Change each measure to degrees, minutes, and seconds.
o ___________ o _____________
29o 39’ 00”
121o 12’ 36”
Change each measure to degrees.
o 15’ 25” ___________ o 32’ 48”_________
29.257o o

11. Section 3
7. The sine of an acute  R of a right triangle is 3/5. Find the values of the other trigonometric ratios for this angle.
cos R = _______, tan R = _______, sec R = ________, csc R = ______, cot R = ______
4/5
3/4
5/4
5/3
4/3

12. Section 4
8. Use the unit circle to find the values of the six trig functions for each angle. Express exact values.
-√3/2
-1/2
sin 210 = ________ cos 210 = ________
tan 210 = ________ csc 210 = _________
sec 210 = _______ cot 210 = ________
√3/3
- 2 √3
-2√3/3

13. Section 5 9. Find the measure of the reference angle for each angle

14. Section 6
10. Suppose  is an angle in standard position whose terminal side lies in the given quadrant. For each function, find the values of the remaining five trigonometric functions for .
sin  = - ¾ ; quadrant IV
cot  = _______ , cos = _______ ,
tan  = _______ , sec  = _______ ,
csc  = _______,
- √7/3
√7/4
-3√7 /7
4√7 /7
-4 /3

15. Section 7
11. Given the coordinate of the terminal side of an angle, determine the exact function value for each of the six functions.
(5, -5) sin  = ________ , cos  = _________ ,
tan  = ______ , csc  = _______, sec  = _______ ,
cot  = ______
-√2 /2
√2 /2 -1
-√2 √2 -1