Lösung 4.3:3b

Aus Online Mathematik Brückenkurs 1

(Unterschied zwischen Versionen)
Wechseln zu: Navigation, Suche
K
Zeile 1: Zeile 1:
-
The angle
+
The angle <math>\pi-v</math> makes the same angle with the negative ''x''-axis as the angle <math>v</math> makes with the positive ''x''-axis and this means that <math>\pi-v</math> is the reflection of <math>v</math> in the ''y''-axis.
-
<math>\pi -v\text{ }</math>
+
-
makes the same angle with the negative
+
-
<math>x</math>
+
-
-axis as the angle
+
-
<math>v</math>
+
-
makes with the positive
+
-
<math>x</math>
+
-
-axis and this means that
+
-
<math>\pi -v\text{ }</math>
+
-
is the reflection of
+
-
<math>v</math>
+
-
in the y-axis.
+
[[Image:4_3_3_b.gif|center]]
[[Image:4_3_3_b.gif|center]]
-
Under such reflection, the angle's
+
Under such reflection, the angle's ''y''-coordinate does not change (but the ''x''-coordinate changes sign) and therefore <math>\sin (\pi-v) = \sin v = a\,</math>.
-
<math>y</math>
+
-
-coordinate does not change (but the
+
-
<math>x</math>
+
-
-coordinate changes sign) and therefore
+
-
<math>\text{sin}\left( \pi -v \right)=\text{sin }v\text{ }=a</math>.
+

Version vom 13:23, 9. Okt. 2008

The angle \displaystyle \pi-v makes the same angle with the negative x-axis as the angle \displaystyle v makes with the positive x-axis and this means that \displaystyle \pi-v is the reflection of \displaystyle v in the y-axis.

Under such reflection, the angle's y-coordinate does not change (but the x-coordinate changes sign) and therefore \displaystyle \sin (\pi-v) = \sin v = a\,.

Von „http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/L%C3%B6sung_4.3:3b“