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anonymous

  • one year ago

Find all solutions in the interval [0, 2π). 7 tan3x - 21 tan x = 0

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  1. anonymous
    • one year ago
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    @Nnesha

  2. Nnesha
    • one year ago
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    same like last one let tan x =a then take out common factor

  3. anonymous
    • one year ago
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    so quadratic equation again?

  4. Nnesha
    • one year ago
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    ye... but first you should find out common factor

  5. Nnesha
    • one year ago
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    \[\huge\rm 7a^3 -21 a = 0\] what is common factor ?

  6. anonymous
    • one year ago
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    7 is a common factor

  7. Nnesha
    • one year ago
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    yes right and what else ?

  8. anonymous
    • one year ago
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    7a(a^2-3)=0

  9. Nnesha
    • one year ago
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    yep right set both 7a and a^2 -3 equal to zero solve for a

  10. anonymous
    • one year ago
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    a=0 and a=sqrt.3

  11. Nnesha
    • one year ago
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    yep that means tan x = 0 and tanx = sqrt{3} unit circle!

  12. Nnesha
    • one year ago
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    tan = sin /cos

  13. anonymous
    • one year ago
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    so wait what would I look for

  14. Nnesha
    • one year ago
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    tanx = 0 and tan x =sqrt 3 this one z tricky you have to divide sin over cos to find out tan

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