Exam 14: Trigonometry With Any Angle

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). C = 56.0°, c = 151 m, b = 187 m

(Multiple Choice)

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Question 41

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 = 78.5°, b = 45.6 m, a = 14.1 m

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Question 42

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 = 47.5°, b = 303 m, a = 265 m

(Multiple Choice)

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Question 43

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). $\angle A = 69.5$ °, $\angle B = 75.6$ °, b = 234 ft $Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). \angle A = 69.5 °, \angle B = 75.6 °, b = 234 ft$

(Multiple Choice)

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Question 44

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). $\angle B = 74.6$ °, $\angle A = 63.0$ °, b = 302 ft $Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). \angle B = 74.6 °, \angle A = 63.0 °, b = 302 ft$

(Multiple Choice)

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Question 45

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. $y = 5 \sin \left( \frac { 1 } { 2 } x + 120 ^ { \circ } \right)$

(Multiple Choice)

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Question 46

Find the value of tan 243.6° rounded to four significant digits.

(Multiple Choice)

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Question 47

Find the period P and amplitude A and graph at least two periods of the equation. $y = 4 \cos \frac { 4 } { 3 } x$

(Multiple Choice)

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Question 48

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 11 cos (5x + 150°)

(Multiple Choice)

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Question 49

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). $\angle A = 68.0$ °, a = 23.5 m, b = 18.0 m $Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). \angle A = 68.0 °, a = 23.5 m, b = 18.0 m$

(Multiple Choice)

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Question 50

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 = 110.2°, a = 1,420 ft, b = 1,130 ft

(Multiple Choice)

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Question 51

Solve each 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). $\angle A = 64.0$ °, a = 133 mi, c = 119 mi $Solve each triangle using the labels as shown in the Illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). \angle A = 64.0 °, a = 133 mi, c = 119 mi$

(Multiple Choice)

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Question 52

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). $\angle A = 19.6$ °, $\angle B = 37.1$ °, c = 41.7 cm $Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). \angle A = 19.6 °, \angle B = 37.1 °, c = 41.7 cm$

(Multiple Choice)

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Question 53

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). $\angle C = 53.3$ °, c = 127 cm, b = 147 cm $Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). \angle C = 53.3 °, c = 127 cm, b = 147 cm$

(Multiple Choice)

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Question 54

Find the value of cos 170.5° rounded to four significant digits.

(Multiple Choice)

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Question 55

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. $y = 8 \cos \left( \frac { 1 } { 4 } x + 210 ^ { \circ } \right)$

(Multiple Choice)

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Question 56

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). $\angle A = 42.0$ °, $\angle B = 48.1$ °, a = 49.7 m $Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). \angle A = 42.0 °, \angle B = 48.1 °, a = 49.7 m$

(Multiple Choice)

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Question 57

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). $\angle A = 119.0$ °, a = 5,640 m, b = 4,770 m $Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). \angle A = 119.0 °, a = 5,640 m, b = 4,770 m$

(Multiple Choice)

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Question 58

Graph the equation for values of x between 0° and 360° in multiples of 30°. y = 5 sin x

(Multiple Choice)

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Question 59

The maximum voltage in a simple generator is V. The changing voltage v as the coil rotates is given by v = V sin x. Graph this equation in multiples of 30° for one complete revolution of the coil for the given value of V. V = 42 Volts

(Multiple Choice)

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Question 60

Showing 41 - 60 of 76

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). C = 56.0°, c = 151 m, b = 187 m

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 = 78.5°, b = 45.6 m, a = 14.1 m

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 = 47.5°, b = 303 m, a = 265 m

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. $y = 5 \sin \left( \frac { 1 } { 2 } x + 120 ^ { \circ } \right)$

Find the value of tan 243.6° rounded to four significant digits.

Find the period P and amplitude A and graph at least two periods of the equation. $y = 4 \cos \frac { 4 } { 3 } x$

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 11 cos (5x + 150°)

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 = 110.2°, a = 1,420 ft, b = 1,130 ft

Find the value of cos 170.5° rounded to four significant digits.

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. $y = 8 \cos \left( \frac { 1 } { 4 } x + 210 ^ { \circ } \right)$

Graph the equation for values of x between 0° and 360° in multiples of 30°. y = 5 sin x

The maximum voltage in a simple generator is V. The changing voltage v as the coil rotates is given by v = V sin x. Graph this equation in multiples of 30° for one complete revolution of the coil for the given value of V. V = 42 Volts

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

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). C = 56.0°, c = 151 m, b = 187 m

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 = 78.5°, b = 45.6 m, a = 14.1 m

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 = 47.5°, b = 303 m, a = 265 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=69.5\angle A = 69.5∠A=69.5 °, ∠B=75.6\angle B = 75.6∠B=75.6 °, b = 234 ft

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). ∠B=74.6\angle B = 74.6∠B=74.6 °, ∠A=63.0\angle A = 63.0∠A=63.0 °, b = 302 ft

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y=5sin⁡(12x+120∘)y = 5 \sin \left( \frac { 1 } { 2 } x + 120 ^ { \circ } \right)y=5sin(21​x+120∘)

Find the value of tan 243.6° rounded to four significant digits.

Find the period P and amplitude A and graph at least two periods of the equation. y=4cos⁡43xy = 4 \cos \frac { 4 } { 3 } xy=4cos34​x

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 11 cos (5x + 150°)

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=68.0\angle A = 68.0∠A=68.0 °, a = 23.5 m, b = 18.0 m

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 = 110.2°, a = 1,420 ft, b = 1,130 ft

Solve each 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=64.0\angle A = 64.0∠A=64.0 °, a = 133 mi, c = 119 mi

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=19.6\angle A = 19.6∠A=19.6 °, ∠B=37.1\angle B = 37.1∠B=37.1 °, c = 41.7 cm

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). ∠C=53.3\angle C = 53.3∠C=53.3 °, c = 127 cm, b = 147 cm

Find the value of cos 170.5° 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=8cos⁡(14x+210∘)y = 8 \cos \left( \frac { 1 } { 4 } x + 210 ^ { \circ } \right)y=8cos(41​x+210∘)

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=42.0\angle A = 42.0∠A=42.0 °, ∠B=48.1\angle B = 48.1∠B=48.1 °, a = 49.7 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=119.0\angle A = 119.0∠A=119.0 °, a = 5,640 m, b = 4,770 m

Graph the equation for values of x between 0° and 360° in multiples of 30°. y = 5 sin x

The maximum voltage in a simple generator is V. The changing voltage v as the coil rotates is given by v = V sin x. Graph this equation in multiples of 30° for one complete revolution of the coil for the given value of V. V = 42 Volts

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, amplitude A, and phase shift S, and graph at least two periods of the equation. $y = 5 \sin \left( \frac { 1 } { 2 } x + 120 ^ { \circ } \right)$

Find the period P and amplitude A and graph at least two periods of the equation. $y = 4 \cos \frac { 4 } { 3 } x$

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. $y = 8 \cos \left( \frac { 1 } { 4 } x + 210 ^ { \circ } \right)$