   Chapter 11.CR, Problem 18CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Review Exercise 18 to 20, prove each statement without using a table or a calculator. Draw an appropriate right triangle.If m ∠ R = 45 ° , then tan ⁡ R = 1 .

To determine

To prove:

The given statement.

Explanation

Procedure used:

In any right triangle ABC with mA=θ we have the following ratios.

sinθ=OppositeHypotenuse

Calculation:

Given:

mR=45°

Let RST be the right triangle having right angle at S.

Thus,

Now, in the above triangle

Opposite =ST,

Hypotenuse =TR

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