Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

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Question

Chapter 1.8, Problem 16OE

To determine

To calculate:

Sum of the measure of supplement and complement of angle with measure x° .

Expert Solution & Answer

Answer to Problem 16OE

Sum of the measure of supplement and complement is 270°−2x .

Explanation of Solution

Given information:

Condition: Complement of angle with measure of x° .

Calculations:

The supplement of an angle is obtained by subtracting the angle from 180° .

Therefore, the supplement of x is 180°−x .

The complement of an angle is obtained by subtracting the angle from 90°−x .

Now, add these two expressions for evaluating their sum.

This is equal to 180°−x+(90°−x)=270°−2x

Therefore, the sum of the supplement and complement of x is 270°−2x .

Chapter 1.8, Problem 15OE

Chapter 1.8, Problem 17OE

Chapter 1 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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