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softballislove3

  • 2 years ago

Find cos θ if sin θ = -5/13 and tan θ > 0.

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  1. myininaya
    • 2 years ago
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    If sine is negative and tangent is positive, then cosine is ____?____ tangent=sine/cosine=negative/cosine=positive =>cosine is ___?____

  2. softballislove3
    • 2 years ago
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    positive?

  3. myininaya
    • 2 years ago
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    So negative/positive is positive No...

  4. softballislove3
    • 2 years ago
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    no its negative

  5. myininaya
    • 2 years ago
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    Right. You want tangent to be positive not negative

  6. softballislove3
    • 2 years ago
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    positive

  7. myininaya
    • 2 years ago
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    So you need cosine to be negative in order for tangent to be positive since sine is negative.

  8. myininaya
    • 2 years ago
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    So we are in the (-,-) quadrant.

  9. softballislove3
    • 2 years ago
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    yea

  10. softballislove3
    • 2 years ago
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    correct

  11. myininaya
    • 2 years ago
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    |dw:1351269639105:dw| \[\sin( \theta)=-5/13 \text{ is given to you} \]

  12. softballislove3
    • 2 years ago
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    so then use pythagorean theorem to fine cosine

  13. myininaya
    • 2 years ago
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    Find the other side using the Pythagorean thm.

  14. softballislove3
    • 2 years ago
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    which would end up being -12/13

  15. myininaya
    • 2 years ago
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    the other side is 12 is what you are saying and no i thought you were looking for cosine...

  16. myininaya
    • 2 years ago
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    oops I labeled the triangle wrong a little bit.

  17. softballislove3
    • 2 years ago
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    i am

  18. myininaya
    • 2 years ago
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    |dw:1351270002298:dw|

  19. myininaya
    • 2 years ago
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    And you will be correct. :)

  20. softballislove3
    • 2 years ago
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    |dw:1351270017306:dw|

  21. softballislove3
    • 2 years ago
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    yay

  22. softballislove3
    • 2 years ago
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    thank you!!!!

  23. myininaya
    • 2 years ago
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    Right.

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