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unicwaan

  • one year ago

Find the the values of cos theta for the angle shown. Can someone walk me through this problem please?

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  1. unicwaan
    • one year ago
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    Never mind I'll just explain the drawing. It's a graph that was a terminal point at (4, -square root of 33) so it's in quadrant 3..

  2. unicwaan
    • one year ago
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  3. unicwaan
    • one year ago
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    I just have to find the value of cos theta with the given terminal point...

  4. freckles
    • one year ago
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    @unicwaan find the hyp of that right triangle |dw:1434746333384:dw| once you find the hyp then you find cos(theta) since that is adj/hyp

  5. anonymous
    • one year ago
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    impressive freckles

  6. unicwaan
    • one year ago
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    So would it be the square root of -33 over 4?

  7. myininaya
    • one year ago
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    no the hyp isn't 4

  8. myininaya
    • one year ago
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    and the adj isn't -sqrt(33) also -sqrt(33) isn't the same as sqrt(-33)

  9. anonymous
    • one year ago
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    No. Use a² + b² = c² to find the hypotenuse. then use the cosine formula |dw:1434746621568:dw|

  10. myininaya
    • one year ago
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    |dw:1434746664322:dw| the hyp is always opposite side the 90 angle

  11. unicwaan
    • one year ago
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    Okay I see where I messed up, so the hyp is 7, the sides lengths are 4 and (-\sqrt{33}\)

  12. anonymous
    • one year ago
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    yes the hypotenuse is 7

  13. anonymous
    • one year ago
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    cos Θ = adjacent/hypotenuse

  14. unicwaan
    • one year ago
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    So how would I tell which one is the adj?

  15. myininaya
    • one year ago
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    it is the side touching the angle in the picture that isn't the hyp

  16. unicwaan
    • one year ago
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    Okay and the angle being created is closest to the origin?

  17. anonymous
    • one year ago
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    yes

  18. unicwaan
    • one year ago
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    OH! So the cos theta would be 4/7?

  19. anonymous
    • one year ago
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    yes

  20. unicwaan
    • one year ago
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    THANK YOU ALL SO MUCH THIS MAKES SENSE!!!!

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