sines__1.png)
CALCULUS Understanding
Its Concepts and Methods
CALCULUS Understanding
Its Concepts and Methods
Law of cosines and law of sines
Let
sines__2.png)
,
sines__3.png)
,
and
sines__4.png)
be the sides of a triangle.
Law of cosines. If
sines__5.png)
is the angle between
sines__6.png)
and
sines__7.png)
,
thensines__8.png)
If
sines__9.png)
,
then
sines__10.png)
and we get the Pythagorean
theorem.
Law of sines. If
sines__11.png)
,
sines__12.png)
,
and
sines__13.png)
are the angles opposite the sides
sines__14.png)
,
sines__15.png)
,
and
sines__16.png)
,
then
sines__17.png)
If
sines__18.png)
,
then
sines__19.png)
and we get
sines__20.png)
;
that is, the sine of an angle is equal to the opposite side over the
hypotenuse.
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.