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NY,NY

  • one year ago

Which trigonometric expression does not simplify to 1? (see link)

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  1. NY,NY
    • one year ago
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    http://puu.sh/iumN8/7819dc2e72.png

  2. Vocaloid
    • one year ago
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    well, let's try each answer one by one and see what we get, shall we?

  3. NY,NY
    • one year ago
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    ok.

  4. Vocaloid
    • one year ago
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    |dw:1434685599699:dw|

  5. anonymous
    • one year ago
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    help me please my question is at the top of the feed

  6. Vocaloid
    • one year ago
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    does that make sense?

  7. NY,NY
    • one year ago
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    I dont understand how cos^2/sin^2 became just cos^2.

  8. Vocaloid
    • one year ago
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    I distributed sin^2(x)

  9. Vocaloid
    • one year ago
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    |dw:1434685846593:dw|

  10. Vocaloid
    • one year ago
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    see how sin^2(x) cancels out?

  11. Vocaloid
    • one year ago
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    |dw:1434685945486:dw|

  12. Vocaloid
    • one year ago
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    |dw:1434685962311:dw|

  13. NY,NY
    • one year ago
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    Oh yes that makes more sense.

  14. NY,NY
    • one year ago
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    Thank you for explaining that.

  15. Vocaloid
    • one year ago
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    ok, so we know that #1 is not the right answer because we get 1 in the end

  16. Vocaloid
    • one year ago
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    let's move on to number 2

  17. NY,NY
    • one year ago
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    Ok.

  18. Vocaloid
    • one year ago
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    |dw:1434686053840:dw|

  19. Vocaloid
    • one year ago
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    |dw:1434686204867:dw|

  20. Vocaloid
    • one year ago
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    does this make sense so far?

  21. NY,NY
    • one year ago
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    yes, because you used the Pythagorean identity at the end, right?

  22. Vocaloid
    • one year ago
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    yup! ok, we know that #2 is out, because we ended up with 1, so let's move on to #3

  23. NY,NY
    • one year ago
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    Right.

  24. Vocaloid
    • one year ago
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    |dw:1434686335785:dw|

  25. Vocaloid
    • one year ago
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    now, I believe #3 is the right answer, but let's check #4 just in case

  26. Vocaloid
    • one year ago
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    |dw:1434686426089:dw|

  27. Vocaloid
    • one year ago
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    |dw:1434686523673:dw|

  28. Vocaloid
    • one year ago
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    whew, that took a while, but do you understand everything so far? :)

  29. Vocaloid
    • one year ago
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    the important thing to remember, is that when you have csc, sec, cot, or tan, you can re-write them in terms of cos or sin, which usually helps you cross things out and simplify :)

  30. NY,NY
    • one year ago
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    Im a little confused with the second step you took.

  31. Vocaloid
    • one year ago
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    which one? #3 or #4?

  32. NY,NY
    • one year ago
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    #4.

  33. Vocaloid
    • one year ago
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    can you tell me exactly which part is confusing?

  34. NY,NY
    • one year ago
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    the step that the arrow is pointing to |dw:1434687552340:dw|

  35. NY,NY
    • one year ago
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    Im confused how that concluded from the previous step, where you substituted the reciprocals.

  36. Vocaloid
    • one year ago
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    |dw:1434687726888:dw|

  37. Vocaloid
    • one year ago
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    which leaves me with|dw:1434687748727:dw|

  38. Vocaloid
    • one year ago
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    does it make it more clear? or is there something you're still unsure about?

  39. NY,NY
    • one year ago
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    Ok, yes that makes sense.

  40. NY,NY
    • one year ago
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    So that leaves us with choice 3.

  41. Vocaloid
    • one year ago
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    yup ~

  42. NY,NY
    • one year ago
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    Ok, thank you for helping.

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