Answer cos R = 0.9035 , tan R = 0.4743 , csc R = 2.3333 , sec R = 1.1068 , cot R = 2.1084 Explanation Given information: Critical Thinking: The sine of an acute ∠ R of a right triangle is 3 7 . Calculation: The other leg is calculated in the sketch. cos R = 6.3246 7 = 0.9035 , tan R = 3 6.3246 = 0.4743 csc R = 1 sin R = 2.3333 , sec R = 1 cos R = 1.1068 cot R = 1 tan R = 2.1084 Thus, cos R = 0.9035 , tan R = 0.4743 , csc R = 2.3333 , sec R = 1.1068 , cot R = 2.1084

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 28E

To determine

To find: The values of the other trigonometric ratios for the given angle.

Expert Solution & Answer

Answer to Problem 28E

cosR=0.9035,tanR=0.4743,cscR=2.3333,secR=1.1068,cotR=2.1084

Explanation of Solution

Given information: Critical Thinking: The sine of an acute ∠R of a right triangle is 37 .

Calculation:

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.2, Problem 28E

The other leg is calculated in the sketch.

cosR=6.32467=0.9035,tanR=36.3246=0.4743cscR=1sinR=2.3333,secR=1cosR=1.1068cotR=1tanR=2.1084

Thus,

cosR=0.9035,tanR=0.4743,cscR=2.3333,secR=1.1068,cotR=2.1084

Chapter 5.2, Problem 27E

Chapter 5.2, Problem 29E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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