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anonymous

  • one year ago

Use the unit circle to determine the value of sec(-12pi)

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  1. Nnesha
    • one year ago
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    to make it easy add 2pi into -12pi ntill you get positive value and remember sec =1/cos

  2. anonymous
    • one year ago
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    i still dont get it

  3. Nnesha
    • one year ago
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    add 2pi \[\huge\rm -12\pi +2\pi\] full circle is equal to 2pi that's why we have to add 2pi keep adding 2 untill u get positive number

  4. Nnesha
    • one year ago
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    \[-12\pi +2\pi = -10 \] still negative add 2pi again \[-10\pi +2\pi = -8\pi \] add 2pi again

  5. anonymous
    • one year ago
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    ok i get 0pi

  6. anonymous
    • one year ago
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    so it is not an exact value then

  7. Nnesha
    • one year ago
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    \[-12\pi +2\pi = -10 \] still negative add 2pi again \[-10\pi +2\pi = -8\pi \] add 2pi again \[-8\pi +2\pi = -6\pi \] add 2pi \[-6\pi +2\pi = -4\pi \] \[-4\pi +2\pi = -2\pi \] add 2 pi again and let me know what you get

  8. anonymous
    • one year ago
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    i get 0pi

  9. Nnesha
    • one year ago
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    okay 0 is correct

  10. Nnesha
    • one year ago
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    not pi just 0

  11. anonymous
    • one year ago
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    so it is undefined

  12. Nnesha
    • one year ago
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    like i told you sec =1/cos look at the unit cricle what is cos at 0

  13. anonymous
    • one year ago
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    cos(0)=1

  14. Nnesha
    • one year ago
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    yep right so \[\huge\rm sec =\frac{1}{cos} =sec =\frac{ 1 }{ 1 }\] replace cos by 1 = answer

  15. Nnesha
    • one year ago
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    don't forget the *one* at the numerator !

  16. anonymous
    • one year ago
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    if the answer is 0 the is it undefined or not

  17. Nnesha
    • one year ago
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    no

  18. Nnesha
    • one year ago
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    they are asking for value of sec(-12pi) in the unit circle radians is 0 to 2pi(-12pi is not in the unit circle t decrease the value we added 2pi ) degree 0 to 360

  19. Nnesha
    • one year ago
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    so in other words question is find the value fo sec(0)

  20. Nnesha
    • one year ago
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    sec(0) is same as sec(-12pi) both are equal

  21. anonymous
    • one year ago
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    no i am just asking in general, does the answer 0 mean undefined

  22. Nnesha
    • one year ago
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    ohh okay no well if the DENOMINATOR is 0 then YES!! answer is undefined

  23. Nnesha
    • one year ago
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    okay here is an example let's say they are asking csc(0) and csc equal to 1/sin and now sin (0) is 0 right

  24. Nnesha
    • one year ago
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    so when you replace sin by 0 your answer would be undefined because there is a zero at the denominator \[\large \rm csc = \frac{ 1}{\sin} = \frac{ 1 }{ 0 }=\rm undefined\]

  25. Nnesha
    • one year ago
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    \[\huge\rm \frac{ 1 }{ 0 }= undefined ~~~~~~~~~~~~~\frac{ 0 }{ 1}=1\] and just simple 0 doesn't mean undefined

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