Download Trigonometry/Precalculus ( R )

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.
215o, QIII
1. –145 o ________________
30o , Q I
2. 750 o _________________
Section 2

Change each measure to degrees,
minutes, and seconds.
29o 39’ 00”
3. 29.65 o ___________

121o 12’ 36”
4. 121.21o _____________
Change each measure to degrees.
29.257o
5. 29 o 15’ 25” ___________
121.547o
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.
4/
3/
5/
cos R = _______,
tan R = _______,
sec R = ________,
5
4
4
5/
4/
csc R = ______,
cot R = ______
3
3
Section 4

8. Use the unit circle to find the values of
the six trig functions for each angle.
Express exact values.
-√3
-1/
sin 210 = ________
2
√3/
3
tan 210 = ________
-2√3
/3
sec 210 = _______
/2
cos 210 = ________
-2
csc 210 = _________
√3
cot 210 = ________
Section 5

9. Find the measure of the reference angle for
each angle
55o
o
235 ________
– 447
o
o
87
______
42o
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
- √7/
√7/
3
cot  = _______
, cos = _______
,
4
-3√7 /
4√7 /
tan  = _______
7
, sec  = _______
7
,
-4 /
csc  = _______,
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.
-√2 /
√2 /
(5, -5)
sin  = ________
, cos  = _________
,
2
2
-1
-√2
tan  = ______
, csc  = _______,
sec  = √2
_______ ,
-1
cot  = ______