Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.6 Right Triangle Trigonometry - Exercise Set 10.6 - Page 668: 57

Answer

The given statement does not make sense.

Work Step by Step

This statement is incorrect, as according to the formula of sine that is based on perpendicular and hypotenuse, when the size of the triangle is increased its area gets increased in the same proportion but the value of sin remains the same. Change in the ratio of a triangle cannot make changes in the value of any trigonometric ratio be it sin or cos. \[\sin \theta =\tfrac{\text{Perpendicular}}{\text{Hypotenuse}}\]
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