Question 1

Find the period P and amplitude A and graph at least two periods of the equation. $y = 4 \sin \frac { 5 } { 2 } x$

Accepted Answer

A)  P = 90.0°, A = 2.5   
B)  P = 900°, A = 4   
C)  P = 144°, A = 4   
D)  P = 900°, A = 4   
E)  P = 144°, A = 4   
A)  P = 90.0°, A = 2.5   
B)  P = 900°, A = 4   
C)  P = 144°, A = 4   
D)  P = 900°, A = 4   
E)  P = 144°, A = 4

Question 2

Find the value of cos 324.7° rounded to four significant digits.

Accepted Answer

A)  0.8161 
B)  1.2161 
C)  -0.5441 
D)  0.5441 
E)  -0.8161 
A)  0.8161 
B)  1.2161 
C)  -0.5441 
D)  0.5441 
E)  -0.8161

Question 3

Graph the equation for values of x between 0° and 360° in multiples of 10°. y = 2 sin 4x

Accepted Answer

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

Question 4

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 37.6°, a = 1,590 ft, b = 1,830 ft

Accepted Answer

A)  B = 97.8°, C = 44.6°, c = 2,580 ft 
B)  B = 7.0°, C = 135.4°, c = 2,970 ft 
C)  B = 44.6°, C = 97.8°, c = 2,580 ft 
D)  B = 135.4°, C = 7.0°, c = 318 ft 
E)  No solution. 
A)  B = 97.8°, C = 44.6°, c = 2,580 ft 
B)  B = 7.0°, C = 135.4°, c = 2,970 ft 
C)  B = 44.6°, C = 97.8°, c = 2,580 ft 
D)  B = 135.4°, C = 7.0°, c = 318 ft 
E)  No solution.

Question 5

Find the value of sin 158.8° rounded to four significant digits.

Accepted Answer

A)  0.3616 
B)  0.5616 
C)  0.1808 
D)  -0.3616 
E)  -0.1808 
A)  0.3616 
B)  0.5616 
C)  0.1808 
D)  -0.3616 
E)  -0.1808

Question 6

Find the period P and amplitude A and graph at least two periods of the equation. $y = 4 \cos \frac { 1 } { 2 } x$

Accepted Answer

A)  P = 720°, A = 4   
B)  P = 90°, A = 0.5   
C)  P = 720°, A = 4   
D)  P = 720°, A = 4   
E)  P = 90°, A = 0.5   
A)  P = 720°, A = 4   
B)  P = 90°, A = 0.5   
C)  P = 720°, A = 4   
D)  P = 720°, A = 4   
E)  P = 90°, A = 0.5

Question 7

Find the value of sin 140° rounded to four significant digits.

Accepted Answer

A)  0.6428 
B)  -1.0000 
C)  0.2214 
D)  0.3214 
E)  0.2428 
A)  0.6428 
B)  -1.0000 
C)  0.2214 
D)  0.3214 
E)  0.2428

Question 8

Find the value of sin 320° rounded to four significant digits.

Accepted Answer

A)  -0.3214 
B)  -0.4428 
C)  0 
D)  -0.6428 
E)  -0.4214 
A)  -0.3214 
B)  -0.4428 
C)  0 
D)  -0.6428 
E)  -0.4214

Question 9

The owner of triangular lot wishes to fence it along the lot lines. Lot markers at A and B have been located, but the lot marker at C cannot be found. The owner's attorney gives the following information by phone: AB = 355 ft, BC = 295 ft, A = 35.0°. What is the length of AC? Do not use rounded answers during calculations. Round your final answer to three significant digits.

Accepted Answer

A)  AC = 77.3 ft 
B)  AC = 291 ft 
C)  AC = 504 ft 
D)  AC = 173 ft 
E)  No solution. 
A)  AC = 77.3 ft 
B)  AC = 291 ft 
C)  AC = 504 ft 
D)  AC = 173 ft 
E)  No solution.

Question 10

Find the value of cos 304° rounded to four significant digits.

Accepted Answer

A)  0.2796 
B)  0.7592 
C)  0.5592 
D)  -1.0000 
E)  0.1796 
A)  0.2796 
B)  0.7592 
C)  0.5592 
D)  -1.0000 
E)  0.1796

Question 11

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 6 sin (4x - 90°)

Accepted Answer

A)  P = 60°, A = 4, S = -15°   
B)  P = 60°, A = 4, S = -15°   
C)  P = 90°, A = 6, S = -22.5°   
D)  P = 90°, A = 6, S = 22.5°   
E)  P = 90°, A = 6, S = -22.5°   
A)  P = 60°, A = 4, S = -15°   
B)  P = 60°, A = 4, S = -15°   
C)  P = 90°, A = 6, S = -22.5°   
D)  P = 90°, A = 6, S = 22.5°   
E)  P = 90°, A = 6, S = -22.5°

Question 12

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 4 sin (3x + 60°)

Accepted Answer

A)  P = 90°, A = 3, S = 15°   
B)  P = 90°, A = 3, S = -15°   
C)  P = 120°, A = 4, S = 20°   
D)  P = 90°, A = 3, S = 15°   
E)  P = $120 ^ { \circ }$ , A = 4, S = -20°   
A)  P = 90°, A = 3, S = 15°   
B)  P = 90°, A = 3, S = -15°   
C)  P = 120°, A = 4, S = 20°   
D)  P = 90°, A = 3, S = 15°   
E)  P = $120 ^ { \circ }$ , A = 4, S = -20°

Question 13

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 32.0°, a = 44.4 m, b = 32.3 m

Accepted Answer

A)  B = 22.7°, C = 125.3°, c = 68.4 m 
B)  B = 22.7°, C = 125.3°, c = 49.7 m 
C)  B = 125.3°, C = 22.7°, c = 49.7 m 
D)  B = 125.3°, C = 22.7°, c = 68.4 m 
E)  No solution. 
A)  B = 22.7°, C = 125.3°, c = 68.4 m 
B)  B = 22.7°, C = 125.3°, c = 49.7 m 
C)  B = 125.3°, C = 22.7°, c = 49.7 m 
D)  B = 125.3°, C = 22.7°, c = 68.4 m 
E)  No solution.

Question 14

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle A = 13.5$ °, a = 207 ft, b = 188 ft

Accepted Answer

A)  c = 385 ft, $\angle B = 49.3$ °, $\angle C = 117.2$ ° 
B)  c = 207 ft, $\angle B = 49.3$ °, $\angle C = 117.2$ ° 
C)  c = 385 ft, $\angle B = 154.3$ °, $\angle C = 12.2$ ° 
D)  c = 385 ft, $\angle B = 12.2$ °, $\angle C = 154.3$ ° 
E)  c = 207 ft, $\angle B = 12.2$ °, $\angle C = 154.3$ ° 
A)  c = 385 ft, $\angle B = 49.3$ °, $\angle C = 117.2$ ° 
B)  c = 207 ft, $\angle B = 49.3$ °, $\angle C = 117.2$ ° 
C)  c = 385 ft, $\angle B = 154.3$ °, $\angle C = 12.2$ ° 
D)  c = 385 ft, $\angle B = 12.2$ °, $\angle C = 154.3$ ° 
E)  c = 207 ft, $\angle B = 12.2$ °, $\angle C = 154.3$ °

Question 15

Find the period P and amplitude A and graph at least two periods of the equation. y = 11 sin 10x

Accepted Answer

A)  P = 30°, A = 10   
B)  P = 36°, A = 11   
C)  P = 30°, A = 10   
D)  P = 36°, A = 11   
E)  P = 36°, A = 11   
A)  P = 30°, A = 10   
B)  P = 36°, A = 11   
C)  P = 30°, A = 10   
D)  P = 36°, A = 11   
E)  P = 36°, A = 11

Question 16

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 35.2°, a = 378 m, c = 408 m

Accepted Answer

A)  C = 38.5°, B = 3.3°, b = 333 m 
B)  C = 106.3°, B = 38.5°, b = 333 m 
C)  C = 141.5°, B = 3.3°, b = 37.5 m 
D)  C = 38.5°, B = 106.3°, b = 629 m 
E)  No solution. 
A)  C = 38.5°, B = 3.3°, b = 333 m 
B)  C = 106.3°, B = 38.5°, b = 333 m 
C)  C = 141.5°, B = 3.3°, b = 37.5 m 
D)  C = 38.5°, B = 106.3°, b = 629 m 
E)  No solution.

Find the period P and amplitude A and graph at least two periods of the equation. $y = 4 \sin \frac { 5 } { 2 } x$

Find the value of cos 324.7° rounded to four significant digits.

Graph the equation for values of x between 0° and 360° in multiples of 10°. y = 2 sin 4x

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 37.6°, a = 1,590 ft, b = 1,830 ft

Find the value of sin 158.8° rounded to four significant digits.

Find the period P and amplitude A and graph at least two periods of the equation. $y = 4 \cos \frac { 1 } { 2 } x$

Find the value of sin 140° rounded to four significant digits.

Find the value of sin 320° rounded to four significant digits.

Find the value of cos 304° rounded to four significant digits.

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 6 sin (4x - 90°)

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 4 sin (3x + 60°)

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 32.0°, a = 44.4 m, b = 32.3 m

Find the period P and amplitude A and graph at least two periods of the equation. y = 11 sin 10x

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 35.2°, a = 378 m, c = 408 m

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Exam 14: Trigonometry With Any Angle

Find the period P and amplitude A and graph at least two periods of the equation. y=4sin⁡52xy = 4 \sin \frac { 5 } { 2 } xy=4sin25​x

Find the value of cos 324.7° rounded to four significant digits.

Graph the equation for values of x between 0° and 360° in multiples of 10°. y = 2 sin 4x

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 37.6°, a = 1,590 ft, b = 1,830 ft

Find the value of sin 158.8° rounded to four significant digits.

Find the period P and amplitude A and graph at least two periods of the equation. y=4cos⁡12xy = 4 \cos \frac { 1 } { 2 } xy=4cos21​x

Find the value of sin 140° rounded to four significant digits.

Find the value of sin 320° rounded to four significant digits.

Find the value of cos 304° rounded to four significant digits.

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 6 sin (4x - 90°)

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 4 sin (3x + 60°)

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 32.0°, a = 44.4 m, b = 32.3 m

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). ∠A=13.5\angle A = 13.5∠A=13.5 °, a = 207 ft, b = 188 ft

Find the period P and amplitude A and graph at least two periods of the equation. y = 11 sin 10x

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 35.2°, a = 378 m, c = 408 m

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Find the period P and amplitude A and graph at least two periods of the equation. $y = 4 \sin \frac { 5 } { 2 } x$

Find the period P and amplitude A and graph at least two periods of the equation. $y = 4 \cos \frac { 1 } { 2 } x$