Solution 4.3:3a

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{{NAVCONTENT_START}}
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The angle
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<center> [[Image:4_3_3a.gif]] </center>
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<math>-v\text{ }</math>
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{{NAVCONTENT_STOP}}
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is the reflection of the angle
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<math>v</math>
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in the
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<math>x</math>
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-axis, and under such reflection the
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<math>x</math>
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-coordinate does not change, whereas the
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<math>y</math>
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-coordinate changes sign. This means that if
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<math>\text{sin }v=a</math>, then
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<math>\text{sin }\left( -v \right)=-a</math>.
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[[Image:4_3_3_a.gif|center]]
[[Image:4_3_3_a.gif|center]]

Revision as of 10:40, 29 September 2008

The angle \displaystyle -v\text{ } is the reflection of the angle \displaystyle v in the \displaystyle x -axis, and under such reflection the \displaystyle x -coordinate does not change, whereas the \displaystyle y -coordinate changes sign. This means that if \displaystyle \text{sin }v=a, then \displaystyle \text{sin }\left( -v \right)=-a.


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