Prof. Israel Nwaguru PLANE TRIGONOMETRY - MATH 1316, CHAPTER 1.1-1.4 REVIEW
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Determine the quadrant in which a 171° angle lies.
a. 3rd quadrant b. 4th quadrant c. 1st quadrant
d. 2nd quadrant
____
2. Determine the quadrant in which a
°
angle lies.
a. 4th quadrant b. 2nd quadrant c. 1st quadrant d. 3rd quadrant
____
3. Determine two coterminal angles (one positive and one negative) for
a.
b.
c.
d.
e.
____
4. Convert
a.
____
to degree-decimal form. Round answer to three decimal places.
b.
5. Convert
a.
c.
to
d.
e.
form.
b.
c.
d.
____
6. Find (if possible) the complement of
.
a. not possible b. 34° c. 94° d. 56° e. 64°
____
7. Find (if possible) the supplement of 118°.
a. ° b. ° c. ° d. not possible e.
____
b. 4th quadrant
e.
°
8. Determine the quadrant in which an angle, , lies if
a. 1st quadrant
____
c. 3rd quadrant
9. Determine the quadrant in which an angle, , lies if
a. 2nd quadrant b. 1st quadrant c. 3rd quadrant
.
d. 2nd quadrant
radians.
d. 4th quadrant
____ 10. Determine two coterminal angles (one positive and one negative) for
a.
b.
c.
d.
____ 11. Find (if possible) the supplement of
a.
.
b.
c.
.
d. not possible
____ 12. Find (if possible) the complement of
.
e.
e.
.
a. not possible
b.
d.
c.
____ 14. Rewrite
a.
c.
e.
in radian measure as a multiple of .
____ 13. Rewrite
a.
b.
d.
e.
in degree measure.
b.
____ 15. Rewrite
a.
c.
d.
e.
in radian measure. Round to three decimal places.
b.
____ 16. Rewrite
c.
d.
e.
in degree measure. Round to three decimal places.
a.
b.
c.
d.
e.
____ 17. Find the angle, in radians, in the figure below if
a.
b.
c.
d.
and
.
e.
____ 18. Find the radian measure of the central angle of the circle of radius 6 centimeters that intercepts an
arc of length 32 centimeters.
a.
b.
c.
d.
e.
____ 19. Find the length of the arc, S, on a circle of radius 3 meters intercepted by a central angle of
Round to two decimal places.
a.
meters b.
meters
meters
meters
c.
meters
d.
____ 20. Find the area of the sector of the circle with radius 2 meters and central angle
a.
b.
c.
d.
e.
.
e.
.
____ 21. Find the exact value of
a.
b.
, using the triangle shown in the figure below, if
c.
d.
e.
____ 22. If  is an acute angle and
a.
, determine
b.
____ 23. Given
c.
and
a. undefined
b.
c.
____ 25. Use a calculator to evaluate
b. 0.5606
c. 2.6131
d.
b.
e.
c.
____ 27. Using the figure below, if
e.
. Round your answer to four decimal places.
e. –3.5652
d. –2.5412
. Round your answer to four decimal places.
d. 1.7838
e. 0.3827
, find the value of  in degrees
____ 26. If
a.
d.
, determine the following:
____ 24. Use a calculator to evaluate
a. 3.2163 b. –2.5002 c. 21.4717
a. 1.0108
.
d.
without the aid of a calculator.
e.
, determine the exact value of x.
.
a.
b.
c.
d.
____ 28. Using the figure below, if
a.
b.
e.
, determine the exact value of r.
c.
____ 29. Given the figure below, determine the value of
d.
.
e.
a.
=
b.
____ 30. The point
of
=
=
c.
d.
=
e.
is on the terminal side of an angle in standard position. Determine the exact value
.
a.
b.
____ 31. The point
c.
d.
e.
is on the terminal side of an angle in standard position. Determine the exact
value of
.
a.
b.
c.
d.
e.
____ 32. State the quadrant in which  lies if
and
.
a. Quadrant II b. Quadrant III c. Quadrant I d. Quadrant IV
____ 33. Determine the exact value of
a.
when
b.
c.
____ 34. Determine the exact value of
a.
b.
b.
d.
c.
c. 0
and
when
____ 35. Determine the exact value of the
a.
=
d.
e.
and
d.
of the quadrant angle .
e. 1
.
.
e.
____ 36. Determine the exact value of the
a.
c. 1
b.
of the quadrant angle
e. -1
d.
____ 37. Determine the exact value of
a.
c. –1
b.
.
.
d. 1
e.
____ 38. Use a calculator to evaluate
. Round your answer to four decimal places.
a. 16.5803 b. 23.8802 c. 1.4805 d. 0.7305 e. 24.3802
____ 39. Find the point
to evaluate
a.
on the unit circle that corresponds to the real number
. Use your results
.
b.
____ 40. Find the point
evaluate
.
a.
b.
c.
d.
e.
on the unit circle that corresponds to the real number
c.
d.
e.
. Use your results to
PLANE TRIGONOMETRY - MATH 1316
Answer Section
CHAPTER 1.1 - 1.4, REVIEW
MULTIPLE CHOICE
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D
PTS: 1
OBJ: Determine in which quadrant an angle lies
D
PTS: 1
OBJ: Determine in which quadrant an angle lies
B
PTS: 1
OBJ: Determine two coterminal angles (degrees)
A
PTS: 1
OBJ: Convert degrees, minutes and seconds to decimal degree
E
PTS: 1
OBJ: Convert decimal degree to DMS form
A
PTS: 1
OBJ: Find the complement of an angle (degrees)
B
PTS: 1
OBJ: Find the supplement of an angle (degrees)
C
PTS: 1
OBJ: Determine in which quadrant an angle lies
D
PTS: 1
OBJ: Determine in which quadrant an angle lies
A
PTS: 1
OBJ: Determine two coterminal angles (radians)
E
PTS: 1
OBJ: Find the complement of an angle (radians)
C
PTS: 1
OBJ: Find the complement of an angle (radians)
C
PTS: 1
OBJ: Convert degree measure to radian measure
C
PTS: 1
OBJ: Convert radian measure to degree measure
C
PTS: 1
OBJ: Convert degree measure to radian measure
C
PTS: 1
OBJ: Convert radian measure to degree measure
C
PTS: 1
OBJ: Find measure of central angle given radius and arc length
A
PTS: 1
OBJ: Find measure of central angle given radius and arc length
D
PTS: 1
OBJ: Find length of arc given radius and central angle
C
PTS: 1
OBJ: Find the area of a sector given the radius and central angle
A
PTS: 1
OBJ: Determine trig value from diagram
E
PTS: 1
OBJ: Determine value of a trig function
E
PTS: 1
OBJ: Determine trig value given sin and cos
B
PTS: 1
OBJ: Evaluate trig values using calculator
C
PTS: 1
OBJ: Calculate a trigonometric value using a calculator
B
PTS: 1
OBJ: Determine theta without the use of calculator
A
PTS: 1
OBJ: Determine value of variable using right-triangle trig
A
PTS: 1
OBJ: Determine value of variable using right-triangle trig
C
PTS: 1
OBJ: Determine trig value from diagram
D
PTS: 1
Determine value of trig function given point on terminal side
C
PTS: 1
Determine value of trig function given point on terminal side
C
PTS: 1
OBJ: Determine quadrant given constraints
D
PTS: 1
OBJ: Determine exact value of trig function given constraints
D
PTS: 1
OBJ: Determine exact value of trig function given constraints
C
PTS: 1
OBJ: Determine exact value of quadrant angle
C
PTS: 1
OBJ: Determine exact value of quadrant angle
E
PTS: 1
OBJ: Determine exact trig value of angle
C
PTS: 1
OBJ: Evaluate trig values using calculator
D
PTS: 1
OBJ: Evaluate trig function using unit circle
40. ANS: E
PTS: 1
OBJ: Evaluate trig function using unit circle