Solution 4.3:3a

From Förberedande kurs i matematik 1

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Current revision (13:20, 9 October 2008) (edit) (undo)
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The angle
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The angle <math>-v</math> is the reflection of the angle <math>v</math> in the ''x''-axis, and under such reflection the ''x''-coordinate does not change, whereas the ''y''-coordinate changes sign. This means that if <math>\sin v = a\,</math>, then <math>\sin (-v) = -a\,</math>.
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<math>-v\text{ }</math>
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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]]

Current revision

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