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anonymous

  • one year ago

Please Help! Simplify the trigonometric expression

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  1. anonymous
    • one year ago
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    \[ \frac{ \sin ^{2} \theta }{ 1-\cos \theta }\]

  2. anonymous
    • one year ago
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    Answers:

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  3. anonymous
    • one year ago
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    Write sin² Θ as 1 - cos² Θ then factor

  4. anonymous
    • one year ago
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    I'm not sure how to

  5. anonymous
    • one year ago
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    1 - cos² Θ is a difference of squares. Factoring it follows the pattern a² - b² = (a + b)(a - b) So a = 1 and b = cos Θ

  6. anonymous
    • one year ago
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    alright

  7. anonymous
    • one year ago
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    \[1-1 = (1+\cos \theta)(1-\cos \theta)\]

  8. anonymous
    • one year ago
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    1 - cos² Θ = (1 + cos Θ)(1 - cos Θ)

  9. anonymous
    • one year ago
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    ohhhhh ok I see now

  10. anonymous
    • one year ago
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    ya I messed up on the b^2 oops...

  11. anonymous
    • one year ago
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    so now what?

  12. anonymous
    • one year ago
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    that's the numerator. Cancel what you can with the denominator and see what's left

  13. anonymous
    • one year ago
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    oohhh is the answer \[1+\cos \theta \]

  14. anonymous
    • one year ago
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    yes

  15. anonymous
    • one year ago
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    so A?

  16. anonymous
    • one year ago
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    yes

  17. anonymous
    • one year ago
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    thank you

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