Question 1

Find the exact value.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 2

A rocket is fired at sea level and climbs at a constant angle of   through a distance of 10,500 feet. Approximate its altitude to the nearest foot.

Accepted Answer

A) 85,516 ft 
B) 85,510 ft 
C) 1,280 ft 
D) 1,271 ft 
E) 10,422 ft 
A) 85,516 ft 
B) 85,510 ft 
C) 1,280 ft 
D) 1,271 ft 
E) 10,422 ft

Question 3

Use fundamental identities to find the exact values of the trigonometric functions for the given conditions.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 4

Find y by referring to the graph of the trigonometric function.

Accepted Answer

A)    
B)    
C)    
D) 1 
E)    
A)    
B)    
C)    
D) 1 
E)

Question 5

Approximate to four decimal places.

Accepted Answer

A) 0.2683 
B) 0.2713 
C) 0.2837 
D) 0.5425 
E) 0.2327 
A) 0.2683 
B) 0.2713 
C) 0.2837 
D) 0.5425 
E) 0.2327

Question 6

Find the amplitude, the period, and the phase shift.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 7

A rocket is fired at sea level and climbs at a constant angle of   through a distance of 11,500 feet. Approximate its altitude to the nearest foot.

Accepted Answer

A) 31,590 ft 
B) 10,806 ft 
C) 3,924 ft 
D) 31,596 ft 
E) 3,933 ft 
A) 31,590 ft 
B) 10,806 ft 
C) 3,924 ft 
D) 31,596 ft 
E) 3,933 ft

Question 8

Simplify the expression.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

An airplane flying at a speed of 360 mi/hr flies from a point A in the direction   for 15 minutes and then flies in the direction   for 15 minutes. Approximate, to the nearest mile, the distance from the airplane to A.

Accepted Answer

A) 104 mi 
B) 127 mi 
C) 1 mi 
D) 254 mi 
E) 180 mi 
A) 104 mi 
B) 127 mi 
C) 1 mi 
D) 254 mi 
E) 180 mi

Question 10

If a circular arc of the length s = 11 cm subtends the central angle   = 2 on a circle, find the radius of the circle.

Accepted Answer

A) 6.5 cm 
B) 5.5 cm 
C) 7 cm 
D) 22 cm 
E) 6 cm 
A) 6.5 cm 
B) 5.5 cm 
C) 7 cm 
D) 22 cm 
E) 6 cm

Question 11

Express the angle as a decimal, to the nearest ten-thousandth of a degree.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 12

Rewrite the expression in nonradical form without using absolute values for the indicated values of   .   ;

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 13

Rewrite the expression in nonradical form without using absolute values for the indicated values of   .   ;

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 14

Find an equation using the secant function that has the same graph as   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 15

Express the angle as a decimal, to the nearest ten-thousandth of a degree.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

Find an equation using the tangent function that has the same graph as   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

A CB antenna is located on the top of a garage that is 17 feet tall. From a point on level ground that is 120 feet from a point directly below the antenna, the antenna subtends an angle of   , as shown in the figure. Approximate the length of the antenna. Give the answer to one decimal place.

Accepted Answer

A) 345.6 ft 
B) 36.8 ft 
C) 95.7 ft 
D) 24.2 ft 
E) 26.8 ft 
A) 345.6 ft 
B) 36.8 ft 
C) 95.7 ft 
D) 24.2 ft 
E) 26.8 ft

Question 18

Approximate to four decimal places.

Accepted Answer

A) 0.2837 
B) 0.2713 
C) 0.2683 
D) 0.2327 
E) 0.5425 
A) 0.2837 
B) 0.2713 
C) 0.2683 
D) 0.2327 
E) 0.5425

Question 19

Find an equation using the cotangent function that has the same graph as   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

An airplane flying at a speed of 300 mi/hr flies from a point A in the direction   for 15 minutes and then flies in the direction   for 45 minutes. Approximate, to the nearest mile, the distance from the airplane to A.

Accepted Answer

A) 474 mi 
B) 237 mi 
C) 213 mi 
D) 134 mi 
E) 300 mi 
A) 474 mi 
B) 237 mi 
C) 213 mi 
D) 134 mi 
E) 300 mi

Find the exact value.

A rocket is fired at sea level and climbs at a constant angle of through a distance of 10,500 feet. Approximate its altitude to the nearest foot.

Use fundamental identities to find the exact values of the trigonometric functions for the given conditions.

Find y by referring to the graph of the trigonometric function.

Approximate to four decimal places.

Find the amplitude, the period, and the phase shift.

A rocket is fired at sea level and climbs at a constant angle of through a distance of 11,500 feet. Approximate its altitude to the nearest foot.

Simplify the expression.

An airplane flying at a speed of 360 mi/hr flies from a point A in the direction for 15 minutes and then flies in the direction for 15 minutes. Approximate, to the nearest mile, the distance from the airplane to A.

If a circular arc of the length s = 11 cm subtends the central angle = 2 on a circle, find the radius of the circle.

Express the angle as a decimal, to the nearest ten-thousandth of a degree.

Rewrite the expression in nonradical form without using absolute values for the indicated values of . ;

Rewrite the expression in nonradical form without using absolute values for the indicated values of . ;

Find an equation using the secant function that has the same graph as .

Express the angle as a decimal, to the nearest ten-thousandth of a degree.

Find an equation using the tangent function that has the same graph as .

A CB antenna is located on the top of a garage that is 17 feet tall. From a point on level ground that is 120 feet from a point directly below the antenna, the antenna subtends an angle of , as shown in the figure. Approximate the length of the antenna. Give the answer to one decimal place.

Approximate to four decimal places.

Find an equation using the cotangent function that has the same graph as .

An airplane flying at a speed of 300 mi/hr flies from a point A in the direction for 15 minutes and then flies in the direction for 45 minutes. Approximate, to the nearest mile, the distance from the airplane to A.

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Sequences, Series and Probability

Topics From Analytic Geometry

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Exam 6: The Trigonometric Functions

Find the exact value.

A rocket is fired at sea level and climbs at a constant angle of through a distance of 10,500 feet. Approximate its altitude to the nearest foot.

Use fundamental identities to find the exact values of the trigonometric functions for the given conditions.

Find y by referring to the graph of the trigonometric function.

Approximate to four decimal places.

Find the amplitude, the period, and the phase shift.

A rocket is fired at sea level and climbs at a constant angle of through a distance of 11,500 feet. Approximate its altitude to the nearest foot.

Simplify the expression.

An airplane flying at a speed of 360 mi/hr flies from a point A in the direction for 15 minutes and then flies in the direction for 15 minutes. Approximate, to the nearest mile, the distance from the airplane to A.

If a circular arc of the length s = 11 cm subtends the central angle = 2 on a circle, find the radius of the circle.

Express the angle as a decimal, to the nearest ten-thousandth of a degree.

Rewrite the expression in nonradical form without using absolute values for the indicated values of . ;

Rewrite the expression in nonradical form without using absolute values for the indicated values of . ;

Find an equation using the secant function that has the same graph as .

Express the angle as a decimal, to the nearest ten-thousandth of a degree.

Find an equation using the tangent function that has the same graph as .

A CB antenna is located on the top of a garage that is 17 feet tall. From a point on level ground that is 120 feet from a point directly below the antenna, the antenna subtends an angle of , as shown in the figure. Approximate the length of the antenna. Give the answer to one decimal place.

Approximate to four decimal places.

Find an equation using the cotangent function that has the same graph as .

An airplane flying at a speed of 300 mi/hr flies from a point A in the direction for 15 minutes and then flies in the direction for 45 minutes. Approximate, to the nearest mile, the distance from the airplane to A.

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Sequences, Series and Probability

Topics From Analytic Geometry

Filters