Trigonometry/Precalculus ( R )

Section 5.1 – 5.3 Pre-Test

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 ________________ 2. 750 o _________________

Section 2

Change each measure to degrees, minutes, and seconds.

3. 29.65 o ___________ 4. 121.21o _____________

Change each measure to degrees.

5. 29 o 15’ 25” ___________ 6. 121o 32’ 48”_________

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 = ______

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 = ________

Section 5

9. Find the measure of the reference angle for

each angle

235 o ________

– 447 o ______

1038 o _______

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 = _______,

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 = ______

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 ________________ 2. 750 o _________________ 215o, QIII 30o , Q I

Section 2

Change each measure to degrees, minutes, and seconds.

3. 29.65 o ___________ 4. 121.21o _____________

Change each measure to degrees.

5. 29 o 15’ 25” ___________ 6. 121o 32’ 48”_________

29o 39’ 00” 121o 12’ 36”

29.257o 121.547o

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 = ______

4/55/4

3/4

4/35/3

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 = ________

-1/2

- 2

-√3/2

√3/3

-2√3/3√3

Section 5

9. Find the measure of the reference angle for

each angle

235 o ________

– 447 o ______

1038 o _______

55o

87o

42o

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 = _______,

√7/4- √7/3

-3√7 /74√7 /7

-4 /3

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

-1-√2 √2