Trigonometry/Pre-Calculus Chapter 4 Exam

Multiple Choice
Identify the choice that best completes the statement or answers the question.

____	1.	Sketch the angle  in standard position.
A)		
B)		
C)		
D)		
E)	none of these	

____	2.	Determine a pair of coterminal angles (in radian measure) to the angle 
A)		
B)		
C)		
D)		
E)		

____	3.	Determine a positive angle and a negative angle (in radian measure) coterminal to the angle .
A)		
B)		
C)		
D)		
E)		

____	4.	Find the angle that is supplementary to the angle .
A)		
B)		
C)		
D)		
E)		

____	5.	Rewrite the given angle in radian measure as a multiple of . (Do not use a calculator.)

A)		
B)		
C)		
D)		
E)		

____	6.	Rewrite the angle  radians in degree measure.
A)		
B)		
C)		
D)		
E)		

____	7.	Rewrite the given angle in degree measure. (Do not use a calculator.)

A)		
B)		
C)		
D)		
E)		

____	8.	Angle of Rotation and Distance. The minute hand on the clock atop city hall measures 8 feet 6 inches from its tip to its axle. What distance, to the nearest tenth of a foot, does the tip of the minute hand travel when it passes between 9:12 A.M. and 9:48 A.M.?
A)	30.2ft	
B)	23.3ft	
C)	33.6ft	
D)	20.9ft	
E)	28.0ft	

____	9.	Geography. Latitude describes the position of a point on Earth's surface in relation to the equator. A point on the equator has a latitude of . The north pole has a latitude of . The radius of Earth is approximately 3,960 miles. If a city has a latitude of N, how far north is it from the equator? Round answer to the nearest 10 miles.
A)	2200mi	
B)	2140mi	
C)	2180mi	
D)	2150mi	
E)	4400mi	

____	10.	Find the exact value of , using the triangle shown in the figure below, if .

A)		
B)		
C)		
D)		
E)		

____	11.	Find the exact value of  using the figure given below.

A)		
B)		
C)		
D)		
E)		

____	12.	Given that , find . 
(Hint: Sketch a right triangle corresponding to the trigonometric function of the acute angle ; then use the Pythagorean Theorem to determine the third side.)
A)		
B)		
C)		
D)		
E)		

____	13.	If  is an acute angle and , determine .
A)		
B)		
C)		
D)		
E)		

____	14.	Find the exact value of the trigonometric function tan .
A)		
B)		
C)		
D)	1	
E)	0	

____	15.	Find the cofunction that has the same value as the sec .
A)		
B)	csc 	
C)	cos 	
D)	csc 	
E)	cos 	

____	16.	Solve for r.
 17
A)		
B)		
C)		
D)		
E)		

____	17.	Using the figure below, if , determine the exact value of r.

A)		
B)		
C)		
D)		
E)		

____	18.	Distance Across a Marsh. In the diagram below, is a right triangle and AB represents the distance across a marsh. If  measures and BC measures 28 m, find AB. Round answer to the nearest meter.

A)	22 m	
B)	30 m	
C)	25 m	
D)	20 m	
E)	19 m	

____	19.	Determine the exact value of the tangent of the quadrant angle .
A)	0	
B)	1	
C)		
D)		
E)		

____	20.	Evaluate, if possible, the given trigonometric function at the indicated value.

A)		
B)		
C)		
D)		
E)	not possible	

____	21.	Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.)

A)		
B)	0.7071	
C)	0.9999	
D)		
E)		

____	22.	Graph the function by using translations.

A)		
B)		
C)		
D)		
E)		

____	23.	Sketch the graph of the function below, being sure to include at least two cycles.

A)		
B)		
C)		
D)		
E)		

____	24.	Determine the graph of 
A)		
B)		
C)		
D)		
E)		

____	25.	Determine the graph of 
A)		
B)		
C)		
D)		
E)		

____	26.	Graph two cycles of the function given below.

A)		
B)		
C)		
D)		
E)		

____	27.	Use the knowledge of vertical translations to graph two cycles of the function given below.

A)		
B)		
C)		
D)		
E)		

____	28.	Use the knowledge of vertical stretches to graph two cycles of the function .
A)		
B)		
C)		
D)		
E)		

____	29.	Determine the exact value of 
A)		
B)	0	
C)		
D)		
E)		

____	30.	Determine the exact value of 
A)		
B)		
C)		
D)	0	
E)		

____	31.	Determine the exact value of 
A)		
B)		
C)		
D)		
E)		

____	32.	Evaluate  without using a calculator.
A)		
B)		
C)		
D)		
E)		

Trigonometry/Pre-Calculus Chapter 4 Exam
Answer Section

MULTIPLE CHOICE

	1.	ANS:	B	PTS:	1	NOT:	precalclimits_2008	

	2.	ANS:	D	PTS:	1	NOT:	precalclimits_2008	

	3.	ANS:	A	PTS:	1	NOT:	precalclimits_2008	

	4.	ANS:	C	PTS:	1	NOT:	precalclimits_2008	

	5.	ANS:	D	PTS:	1	NOT:	precalclimits_2008	

	6.	ANS:	C	PTS:	1	NOT:	precalclimits_2008	

	7.	ANS:	E	PTS:	1	NOT:	precalclimits_2008	

	8.	ANS:	C	PTS:	1	NOT:	precalclimits_2008	

	9.	ANS:	A	PTS:	1	NOT:	precalclimits_2008	

	10.	ANS:	A	PTS:	1	NOT:	precalclimits_2008	

	11.	ANS:	C	PTS:	1	NOT:	precalclimits_2008	

	12.	ANS:	A	PTS:	1	NOT:	precalclimits_2008	

	13.	ANS:	C	PTS:	1	NOT:	precalclimits_2008	

	14.	ANS:	A	PTS:	1	NOT:	precalclimits_2008	

	15.	ANS:	B	PTS:	1	NOT:	precalclimits_2008	

	16.	ANS:	E	PTS:	1	NOT:	precalclimits_2008	

	17.	ANS:	E	PTS:	1	NOT:	precalclimits_2008	

	18.	ANS:	B	PTS:	1	NOT:	precalclimits_2008	

	19.	ANS:	A	PTS:	1	NOT:	precalclimits_2008	

	20.	ANS:	A	PTS:	1	NOT:	precalclimits_2008	

	21.	ANS:	E	PTS:	1	NOT:	precalclimits_2008	

	22.	ANS:	E	PTS:	1	NOT:	precalclimits_2008	

	23.	ANS:	C	PTS:	1	NOT:	precalclimits_2008	

	24.	ANS:	B	PTS:	1	NOT:	precalclimits_2008	

	25.	ANS:	C	PTS:	1	NOT:	precalclimits_2008	

	26.	ANS:	C	PTS:	1	NOT:	precalclimits_2008	

	27.	ANS:	A	PTS:	1	NOT:	precalclimits_2008	

	28.	ANS:	A	PTS:	1	NOT:	precalclimits_2008	

	29.	ANS:	C	PTS:	1	NOT:	precalclimits_2008	

	30.	ANS:	D	PTS:	1	NOT:	precalclimits_2008	

	31.	ANS:	A	PTS:	1	NOT:	precalclimits_2008	

	32.	ANS:	D	PTS:	1	NOT:	precalclimits_2008