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# Solution: Right-triangle relationships: Draw a right ISBN: 9780321570567 2

## Solution for problem 41RE Chapter 1

Calculus: Early Transcendentals | 1st Edition

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Problem 41RE

Right-triangle relationships: ?Draw a right triangle to simplify the given expression As?sume x> 0 ?and 0? ????/2. cot??1 (tan??)

Step-by-Step Solution:

Step-by-step solution Step 1 We need to draw a right triangle and use right triangle relationships to simplify 1 the expression cot (tan()) assuming x > 0 and 0 . 2 Step 2 To simplify the expression, we first draw a right triangle with an angles and , such that: 1 = cot (tan )  cot = tan We know from right triangle relationships that: opp tan = adj and adj cot = opp From these, we can conclude that and are complementary angles, as illustrated below: tan = opp = B adj A adj cot = opp = A

Step 3 of 3

##### ISBN: 9780321570567

This full solution covers the following key subjects: triangle, Right, Expression, given, Relationships. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The answer to “Right-triangle relationships: ?Draw a right triangle to simplify the given expression As?sume x> 0 ?and 0? ????/2. cot??1 (tan??)” is broken down into a number of easy to follow steps, and 19 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 41RE from 1 chapter was answered, more than 308 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The full step-by-step solution to problem: 41RE from chapter: 1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.

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