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hawkfalcon

  • 3 years ago

How do I simplify this expression?

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  1. hawkfalcon
    • 3 years ago
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    \[\frac{1-(\sin(x)+\cos(x))^2}{2\sin(x)}\]

  2. jim_thompson5910
    • 3 years ago
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    \[\Large \frac{1-(\sin(x)+\cos(x))^2}{2\sin(x)}\] \[\Large \frac{1-(\sin^2(x)+2\sin(x)\cos(x)+\cos^2(x))}{2\sin(x)}\] \[\Large \frac{1-(1+2\sin(x)\cos(x))}{2\sin(x)}\] \[\Large \frac{1-1-2\sin(x)\cos(x)}{2\sin(x)}\] \[\Large \frac{-2\sin(x)\cos(x)}{2\sin(x)}\] \[\Large -\cos(x)\]

  3. hawkfalcon
    • 3 years ago
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    Thank you both, that makes sense:)

  4. jim_thompson5910
    • 3 years ago
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    np

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