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anonymous

  • one year ago

check answer please! Let theta be an angle in quadrant III such that sin (theta)= (-3/4). Find the exact values of and sec and cot. i got sec=-4/√7 and cot=√7/-3

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  1. Jhannybean
    • one year ago
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    \(\sin(\theta) = -\dfrac{3}{4}\) sin = opp/ hyp yes?

  2. Nnesha
    • one year ago
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    if you remember CAST rule which function is positive or negative in 3rd quadrant ?

  3. Nnesha
    • one year ago
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    the*

  4. anonymous
    • one year ago
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    cos and sin are negative while tan is positive

  5. Jhannybean
    • one year ago
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    |dw:1439527075496:dw|

  6. Nnesha
    • one year ago
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    so if tan is positive cot = ? positive or negative ?

  7. anonymous
    • one year ago
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    negative?

  8. Nnesha
    • one year ago
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    tan is reciprocal of cot

  9. Nnesha
    • one year ago
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    i just wanted to know if you understood the signs of all 3 functions or not

  10. Nnesha
    • one year ago
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    look at jhanny;s comment answer that she will help you

  11. anonymous
    • one year ago
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    I got adjacent as √7 and opposite as -3

  12. Nnesha
    • one year ago
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    |dw:1439527747421:dw| write the opposite and hyp

  13. anonymous
    • one year ago
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    opposite is -3 and hyp is -4

  14. Nnesha
    • one year ago
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    -4 ??

  15. anonymous
    • one year ago
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    maybe im confused, but doesnt the negative sign apply to both 3 and 4?

  16. Nnesha
    • one year ago
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    well if both hyp and opposite are negative then it should be \[\frac{ -3 }{ -4 } \] which is equal to positive

  17. anonymous
    • one year ago
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    oh so opposite would be -3 and hyp would just be 4

  18. Nnesha
    • one year ago
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    yes right |dw:1439527997509:dw| and adjacent equal to ?

  19. anonymous
    • one year ago
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    √7

  20. Nnesha
    • one year ago
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    \(\color{blue}{\text{Originally Posted by}}\) @Kimes I got adjacent as √7 and opposite as -3 \(\color{blue}{\text{End of Quote}}\) yes right

  21. anonymous
    • one year ago
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    so sec is 4/√7 and cot is √7/-3

  22. Nnesha
    • one year ago
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    no cot = ? wait a sec

  23. anonymous
    • one year ago
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    √7/3?

  24. Nnesha
    • one year ago
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    yes cot should be positive

  25. anonymous
    • one year ago
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    oh gosh, gotta study more on this, thanks again!

  26. Nnesha
    • one year ago
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    sec = ??

  27. anonymous
    • one year ago
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    oh its not 4/√7?

  28. anonymous
    • one year ago
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    oh wait -4/√7

  29. Nnesha
    • one year ago
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    remember what i told you on previous thread

  30. Nnesha
    • one year ago
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    yes right cos sec should be negative but what else

  31. Nnesha
    • one year ago
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    something about radical sign

  32. anonymous
    • one year ago
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    oh multiply, so it'll be -4√7/7

  33. Nnesha
    • one year ago
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    yep

  34. anonymous
    • one year ago
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    thank you so much!

  35. Nnesha
    • one year ago
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    np

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