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HPlourde Group Title

what is (cosx/sinx)/sinxcosx simplified

  • one year ago
  • one year ago

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  1. abb0t Group Title
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    \[\frac{ \cos(x) }{ \sin(x) } \times \frac{ \sin(x)\cos(x) }{ 1 }\]

    • one year ago
  2. zepdrix Group Title
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    \[\large \frac{\left(\dfrac{\cos x}{\sin x}\right)}{\sin x \cos x}\]Woops I dunno if you're looking at it correctly abbot :O Only the top one is a fraction.

    • one year ago
  3. zepdrix Group Title
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    \[\large \frac{\left(\dfrac{\cos x}{\sin x}\right)}{\sin x \cos x} \qquad = \qquad \left(\frac{\cos x}{\sin x}\right)\frac{1}{\sin x \cos x}\]

    • one year ago
  4. HPlourde Group Title
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    ya but what about multiplying by the recipricol.... cause i am seriously confused.

    • one year ago
  5. zepdrix Group Title
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    \[\large \left(\frac{\cancel{\cos x}}{\sin x}\right)\frac{1}{\sin x \cancel{\cos x}}\]

    • one year ago
  6. zepdrix Group Title
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    Ok here's the thing with the reciprocal :) lemme explain.

    • one year ago
  7. HPlourde Group Title
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    ok sounds good

    • one year ago
  8. zepdrix Group Title
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    The bottom fraction is actually this,\[\large \frac{\sin x \cos x}{1}\] So if you wanted to write it as a division of fractions, you could write it like this,\[\large \frac{\left(\dfrac{\cos x}{\sin x}\right)}{\sin x \cos x} \qquad = \qquad \frac{\left(\dfrac{\cos x}{\sin x}\right)}{\left(\dfrac{\sin x \cos x}{1}\right)}\]And then from here, we could multiply by the reciprocal of the bottom fraction.

    • one year ago
  9. HPlourde Group Title
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    aha!!!!! now it's making sense!!!

    • one year ago
  10. zepdrix Group Title
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    When we started this problem, we weren't dividing fractions. Only the top one was a fraction. Maybe that's why there was a little confusion :)

    • one year ago
  11. HPlourde Group Title
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    i think so...this is the only one that i've been confused over so far... thank you:)

    • one year ago
  12. HPlourde Group Title
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    i got the right answer. thanks a billion

    • one year ago
  13. zepdrix Group Title
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    yay!

    • one year ago
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