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Right triangles: Given that = sin1 ( ), evaluate cos ,

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 37RE Chapter 1

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 37RE

Right triangles: Given that ??? = sin?1 ( ), evaluate cos ???, tan???, cot ???, sec???, and csc???. Right-triangle relationships: ?Draw a right triangle to simplify the given expression Assume x?> 0 ?and 0 ????/?2.

Step-by-Step Solution:

Step-by-step solution 37RE Step 1 Given that = sin ( ) , we need to find cos , tan ,cot , sec and 13 csc assuming x > 0 and 0 . 2 Step 2 Let us assume that lies in the first quadrant, where all trigonometric functions are positive. Given: 1 12 = sin ( )13 sin = 12 [1] 13 Next, we solve for cos by using the following identity: cos = 1sin 2 [2] Substituting [1] into [2], we have, 2 12 2 cos = 1( ) 13 cos = 1 144 169 2 25 cos = 169 25 cos = 169 5 cos = 13 [3] Step 3 Next, we solve for tan by using the following property: tan = cos [4] Substituting [1] and [3] into [4], we have, 12 tan = 53 13 tan = 12 [5] 5 Step 4 Next, we solve for cot by using the following property: cot = 1 [6] tan Substituting [5] into [6], we have, cot = 12 5 cot = 12 [7]

Step 5 of 8

Chapter 1, Problem 37RE is Solved
Step 6 of 8

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

The answer to “Right triangles: Given that ??? = sin?1 ( ), evaluate cos ???, tan???, cot ???, sec???, and csc???. Right-triangle relationships: ?Draw a right triangle to simplify the given expression Assume x?> 0 ?and 0 ????/?2.” is broken down into a number of easy to follow steps, and 35 words. The full step-by-step solution to problem: 37RE from chapter: 1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Since the solution to 37RE from 1 chapter was answered, more than 297 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: Right, triangle, given, Relationships, draw. This expansive textbook survival guide covers 85 chapters, and 5218 solutions.

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