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asapbleh

  • 2 years ago

Find tan theta. Please see below for equation.

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  1. jasonxx
    • 2 years ago
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    ??

  2. asapbleh
    • 2 years ago
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    \[\tan \theta=+\sqrt{1-\sec ^2theta}\] tan theta= \[\sqrt{-8}\] does squareroot of -8 equal to \[1/2\sqrt{2}\] ?

  3. jasonxx
    • 2 years ago
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    no

  4. asapbleh
    • 2 years ago
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    why?

  5. jasonxx
    • 2 years ago
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    \[\sqrt{-8}=i 2\sqrt{2}\]

  6. asapbleh
    • 2 years ago
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    Ok, heres the full question: Find tan theta if sin theta =1/3 and theta is in quadrant I.

  7. jasonxx
    • 2 years ago
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    easy ...just use triangle...it'll help you forever |dw:1347169230431:dw| and tan theta= 1/2sqrt2

  8. jasonxx
    • 2 years ago
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    \[\tan \theta= \frac{ 1 }{ 2 \sqrt2 }\]

  9. asapbleh
    • 2 years ago
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    I'm saying how do you get \[1/2\sqrt{2}\]?

  10. jasonxx
    • 2 years ago
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    use pythagoraas....

  11. asapbleh
    • 2 years ago
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    I need to use the equation: \[\tan \theta=\sqrt{1-\sec ^2theta}\]

  12. jasonxx
    • 2 years ago
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    \[3^2=1^2+x^2....x= \sqrt{3^2-1}=\sqrt 8\]

  13. jasonxx
    • 2 years ago
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    don't use that....if you have to use that find another side first

  14. asapbleh
    • 2 years ago
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    if so, how do i find the other side?

  15. jasonxx
    • 2 years ago
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    use pythagoras.....as i have stated above

  16. asapbleh
    • 2 years ago
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    ok, then if i need to find csc theta, if cot theta = -21/20 and sin theta>0 then would my answer be \[\sqrt{1+21/20}\] or

  17. jasonxx
    • 2 years ago
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    from above triangle cot theta= 2 sqrt 2

  18. asapbleh
    • 2 years ago
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    im sorry, this is another problem, not the above triangle

  19. jasonxx
    • 2 years ago
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    i just explained the easiest method to find out any answer

  20. jasonxx
    • 2 years ago
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    see you have sin theta= 1/3 now 1 is perpendicular and 3 is hypotenuse now use pythagoras theorem to find another side and since you have three sides you can find any of the trigonometric value

  21. asapbleh
    • 2 years ago
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    ok, so is it .6.40?

  22. jasonxx
    • 2 years ago
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    what another side?

  23. asapbleh
    • 2 years ago
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    I dont seem to have another side

  24. jasonxx
    • 2 years ago
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    another side would be ^2=1^2+x^2 x^2=9-1=8 x=2sqrt2

  25. asapbleh
    • 2 years ago
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    Problem: Find csc theta if cot theta=-21/20 and sin theta>0 if i use the pythagoreas, then would it be 20^2+x^2=21^2 ?

  26. jasonxx
    • 2 years ago
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    okay wait

  27. Algebraic!
    • 2 years ago
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    square both sides. multiply through by sin^2 solve for tan

  28. jasonxx
    • 2 years ago
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    \[cosec^2 \theta=\cot^2 \theta-1 \]

  29. asapbleh
    • 2 years ago
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    omg, so ive been doing it wrong? ive been using \[\csc \theta=\sqrt{1-\cot ^2\theta}\]

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