Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Concept explainers

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

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Question

Chapter 5.2, Problem 24E

(a)

To determine

To find: The value of sin52∘47' trigonometric ratio, using a calculator.

(a)

Expert Solution

Answer to Problem 24E

sin52∘47'=0.79635

Explanation of Solution

Given information: sin52∘47'

Calculation:

If you can type minutes as well in the calculator, then simply put the value in to the calculator and get it.

If it is not possible convert the minute to decimal and write the value only in degrees and enter the value in to the calculator.

47'=47∘60=0.7833

Hence the value to be entered is 52.7833∘

Thus,

sin52∘47'=0.79635

(b)

To determine

To find: The value of cos79∘15' trigonometric ratio, using a calculator.

(b)

Expert Solution

Answer to Problem 24E

cos79∘15'=0.1865

Explanation of Solution

Given information: cos79∘15'

Calculation:

If you can type minutes as well in the calculator, then simply put the value in to the calculator and get it.

If it is not possible convert the minute to decimal and write the value only in degrees and enter the value in to the calculator.

15'=15∘60=0.25

Hence the value to be entered is 79.25∘

Hence,

cos79∘15'=0.1865

(c)

To determine

To find: The value of tan88∘22'45'' trigonometric ratio, using a calculator.

(c)

Expert Solution

Answer to Problem 24E

tan88∘22'45''=35.3401

Explanation of Solution

Given information: tan88∘22'45''

Calculation:

If you can type minutes as well in the calculator, then simply put the value in to the calculator and get it.

If it is not possible convert the minute to decimal and write the value only in degrees and enter the value in to the calculator.

22'=22∘60=0.3333 and 45''=45∘3600=0.0125

Hence the value to be entered is 88∘+0.3667∘+0.0125∘=88.3458∘

When you use the above value, you’ll get 35.34087 as the answer due to the round of error in calculating 11/33 in above step. But the correct value is given below.

Thus,

tan88∘22'45''=35.3401

(d)

To determine

To find: The value of cot36∘ trigonometric ratio, using a calculator.

(d)

Expert Solution

Answer to Problem 24E

cot36∘=1.3765

Explanation of Solution

Given information: cot36∘

Calculation:

cot36∘=1tan36∘cot36∘=10.7265cot36∘=1.3765

Chapter 5.2, Problem 23E

Chapter 5.2, Problem 25E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 5.1 - Prob. 1CFU Ch. 5.1 - Prob. 2CFU Ch. 5.1 - Prob. 3CFU Ch. 5.1 - Prob. 4CFU Ch. 5.1 - Prob. 5CFU Ch. 5.1 - Prob. 6CFU Ch. 5.1 - Prob. 7CFU Ch. 5.1 - Prob. 8CFU Ch. 5.1 - Prob. 9CFU Ch. 5.1 - Prob. 10CFU

Ch. 5.1 - Prob. 11CFU Ch. 5.1 - Prob. 12CFU Ch. 5.1 - Prob. 13CFU Ch. 5.1 - Prob. 14CFU Ch. 5.1 - Prob. 15CFU Ch. 5.1 - Prob. 16CFU Ch. 5.1 - Prob. 17CFU Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - Prob. 44E Ch. 5.1 - Prob. 45E Ch. 5.1 - Prob. 46E Ch. 5.1 - Prob. 47E Ch. 5.1 - Prob. 48E Ch. 5.1 - Prob. 49E Ch. 5.1 - Prob. 50E Ch. 5.1 - Prob. 51E Ch. 5.1 - Prob. 52E Ch. 5.1 - Prob. 53E Ch. 5.1 - Prob. 54E Ch. 5.1 - Prob. 55E Ch. 5.1 - Prob. 56E Ch. 5.1 - Prob. 57E Ch. 5.1 - Prob. 58E Ch. 5.1 - Prob. 59E Ch. 5.1 - 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Prob. 32E Ch. 5.6 - Prob. 33E Ch. 5.6 - Prob. 34E Ch. 5.6 - Prob. 35E Ch. 5.6 - Prob. 36E Ch. 5.6 - Prob. 37E Ch. 5.6 - Prob. 38E Ch. 5.6 - Prob. 39E Ch. 5.6 - Prob. 40E Ch. 5.6 - Prob. 41E Ch. 5.6 - Prob. 42E Ch. 5.7 - Prob. 1GCE Ch. 5.7 - Prob. 2GCE Ch. 5.7 - Prob. 3GCE Ch. 5.7 - Prob. 4GCE Ch. 5.7 - Prob. 1CFU Ch. 5.7 - Prob. 2CFU Ch. 5.7 - Prob. 3CFU Ch. 5.7 - Prob. 4CFU Ch. 5.7 - Prob. 5CFU Ch. 5.7 - Prob. 6CFU Ch. 5.7 - Prob. 7CFU Ch. 5.7 - Prob. 8CFU Ch. 5.7 - Prob. 9CFU Ch. 5.7 - Prob. 10CFU Ch. 5.7 - Prob. 11E Ch. 5.7 - Prob. 12E Ch. 5.7 - Prob. 13E Ch. 5.7 - Prob. 14E Ch. 5.7 - Prob. 15E Ch. 5.7 - Prob. 16E Ch. 5.7 - Prob. 17E Ch. 5.7 - Prob. 18E Ch. 5.7 - Prob. 19E Ch. 5.7 - Prob. 20E Ch. 5.7 - Prob. 21E Ch. 5.7 - Prob. 22E Ch. 5.7 - Prob. 23E Ch. 5.7 - Prob. 24E Ch. 5.7 - Prob. 25E Ch. 5.7 - Prob. 26E Ch. 5.7 - Prob. 27E Ch. 5.7 - Prob. 28E Ch. 5.7 - Prob. 29E Ch. 5.7 - Prob. 30E Ch. 5.7 - Prob. 31E Ch. 5.7 - Prob. 32E Ch. 5.7 - Prob. 33E Ch. 5.7 - Prob. 34E Ch. 5.7 - Prob. 35E Ch. 5.7 - 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Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities; Author: Mathispower4u;https://www.youtube.com/watch?v=OmJ5fxyXrfg;License: Standard YouTube License, CC-BY

The value of sin 52 ∘ 47 ' trigonometric ratio, using a calculator.

Concept explainers

Videos

To find: The value of sin52∘47' trigonometric ratio, using a calculator.

Answer to Problem 24E

Explanation of Solution

To find: The value of cos79∘15' trigonometric ratio, using a calculator.

Answer to Problem 24E

Explanation of Solution

To find: The value of tan88∘22'45'' trigonometric ratio, using a calculator.

Answer to Problem 24E

Explanation of Solution

To find: The value of cot36∘ trigonometric ratio, using a calculator.

Answer to Problem 24E

Explanation of Solution

Chapter 5 Solutions

Additional Math Textbook Solutions