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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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 5.5, Problem 50E

To determine

To find: The angle of refraction, if a beam of light strikes a diamond at an angle of incidence of 60∘ .

Expert Solution & Answer

Answer to Problem 50E

θ≃21∘

Explanation of Solution

Given information: Physics: According to Snell’s Law, sinθisinθr=n, where θi is the angle of incidence, θr is the angle of refraction and n is the index of refraction. The index refraction for a diamond is 2.42.

Calculation:

n=sinθisinθr→sin60sinθr=2.42→sinθr=322.42sinθr=0.3579θ=sin−1(0.3579)θ≃21∘

Chapter 5.5, Problem 49E

Chapter 5.5, Problem 51E

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. 42E Ch. 5.5 - Prob. 43E Ch. 5.5 - Prob. 44E Ch. 5.5 - Prob. 45E Ch. 5.5 - Prob. 46E Ch. 5.5 - Prob. 47E Ch. 5.5 - Prob. 48E Ch. 5.5 - Prob. 49E Ch. 5.5 - Prob. 50E Ch. 5.5 - Prob. 51E Ch. 5.5 - Prob. 52E Ch. 5.5 - Prob. 53E Ch. 5.5 - Prob. 54E Ch. 5.5 - Prob. 55E Ch. 5.5 - Prob. 56E Ch. 5.5 - Prob. 57E Ch. 5.5 - Prob. 58E Ch. 5.5 - Prob. 59E Ch. 5.5 - Prob. 60E Ch. 5.6 - Prob. 1CFU Ch. 5.6 - Prob. 2CFU Ch. 5.6 - Prob. 3CFU Ch. 5.6 - Prob. 4CFU Ch. 5.6 - Prob. 5CFU Ch. 5.6 - Prob. 6CFU Ch. 5.6 - Prob. 7CFU Ch. 5.6 - Prob. 8CFU Ch. 5.6 - Prob. 9CFU Ch. 5.6 - Prob. 10CFU Ch. 5.6 - Prob. 11E Ch. 5.6 - Prob. 12E Ch. 5.6 - Prob. 13E Ch. 5.6 - Prob. 14E Ch. 5.6 - Prob. 15E Ch. 5.6 - Prob. 16E Ch. 5.6 - Prob. 17E Ch. 5.6 - Prob. 18E Ch. 5.6 - Prob. 19E Ch. 5.6 - Prob. 20E Ch. 5.6 - Prob. 21E Ch. 5.6 - Prob. 22E Ch. 5.6 - Prob. 23E Ch. 5.6 - Prob. 24E Ch. 5.6 - Prob. 25E Ch. 5.6 - Prob. 26E Ch. 5.6 - Prob. 27E Ch. 5.6 - Prob. 28E Ch. 5.6 - Prob. 29E Ch. 5.6 - Prob. 30E Ch. 5.6 - Prob. 31E Ch. 5.6 - 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 - Prob. 36E Ch. 5.7 - Prob. 37E Ch. 5.7 - Prob. 38E Ch. 5.7 - Prob. 39E Ch. 5.7 - Prob. 40E Ch. 5.7 - Prob. 41E Ch. 5.7 - Prob. 42E Ch. 5.7 - Prob. 43E Ch. 5.7 - Prob. 44E Ch. 5.7 - Prob. 45E Ch. 5.7 - Prob. 46E Ch. 5.8 - Prob. 1CFU Ch. 5.8 - Prob. 2CFU Ch. 5.8 - Prob. 3CFU Ch. 5.8 - Prob. 4CFU Ch. 5.8 - Prob. 5CFU Ch. 5.8 - Prob. 6CFU Ch. 5.8 - Prob. 7CFU Ch. 5.8 - Prob. 8CFU Ch. 5.8 - Prob. 9CFU Ch. 5.8 - Prob. 10CFU Ch. 5.8 - Prob. 11E Ch. 5.8 - Prob. 12E Ch. 5.8 - Prob. 13E Ch. 5.8 - Prob. 14E Ch. 5.8 - Prob. 15E Ch. 5.8 - Prob. 16E Ch. 5.8 - Prob. 17E Ch. 5.8 - Prob. 18E Ch. 5.8 - Prob. 19E Ch. 5.8 - Prob. 20E Ch. 5.8 - Prob. 21E Ch. 5.8 - Prob. 22E Ch. 5.8 - Prob. 23E Ch. 5.8 - Prob. 24E Ch. 5.8 - Prob. 25E Ch. 5.8 - Prob. 26E Ch. 5.8 - Prob. 27E Ch. 5.8 - Prob. 28E Ch. 5.8 - Prob. 29E Ch. 5.8 - Prob. 30E Ch. 5.8 - Prob. 31E Ch. 5.8 - Prob. 32E Ch. 5.8 - Prob. 33E Ch. 5.8 - Prob. 34E Ch. 5.8 - Prob. 35E Ch. 5.8 - Prob. 36E Ch. 5.8 - Prob. 37E Ch. 5.8 - Prob. 38E Ch. 5.8B - Prob. 1GCE Ch. 5.8B - Prob. 2GCE Ch. 5.8B - Prob. 3GCE Ch. 5.8B - Prob. 4GCE Ch. 5 - Prob. 1SGA Ch. 5 - Prob. 2SGA Ch. 5 - Prob. 3SGA Ch. 5 - Prob. 4SGA Ch. 5 - Prob. 5SGA Ch. 5 - Prob. 6SGA Ch. 5 - Prob. 7SGA Ch. 5 - Prob. 8SGA Ch. 5 - Prob. 9SGA Ch. 5 - Prob. 10SGA Ch. 5 - Prob. 11SGA Ch. 5 - Prob. 12SGA Ch. 5 - Prob. 13SGA Ch. 5 - Prob. 14SGA Ch. 5 - Prob. 15SGA Ch. 5 - Prob. 16SGA Ch. 5 - Prob. 17SGA Ch. 5 - Prob. 18SGA Ch. 5 - Prob. 19SGA Ch. 5 - Prob. 20SGA Ch. 5 - Prob. 21SGA Ch. 5 - Prob. 22SGA Ch. 5 - Prob. 23SGA Ch. 5 - Prob. 24SGA Ch. 5 - Prob. 25SGA Ch. 5 - Prob. 26SGA Ch. 5 - Prob. 27SGA Ch. 5 - Prob. 28SGA Ch. 5 - Prob. 29SGA Ch. 5 - Prob. 30SGA Ch. 5 - Prob. 31SGA Ch. 5 - Prob. 32SGA Ch. 5 - Prob. 33SGA Ch. 5 - Prob. 34SGA Ch. 5 - Prob. 35SGA Ch. 5 - Prob. 36SGA Ch. 5 - Prob. 37SGA Ch. 5 - Prob. 38SGA Ch. 5 - Prob. 39SGA Ch. 5 - Prob. 40SGA Ch. 5 - Prob. 41SGA Ch. 5 - Prob. 42SGA Ch. 5 - Prob. 43SGA Ch. 5 - Prob. 44SGA Ch. 5 - Prob. 45SGA Ch. 5 - Prob. 46SGA Ch. 5 - Prob. 47SGA Ch. 5 - Prob. 48SGA Ch. 5 - 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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 angle of refraction, if a beam of light strikes a diamond at an angle of incidence of 60 ∘ .

Concept explainers

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To find: The angle of refraction, if a beam of light strikes a diamond at an angle of incidence of 60∘ .

Answer to Problem 50E

Explanation of Solution

Chapter 5 Solutions

Additional Math Textbook Solutions