anonymous
  • anonymous
Find all solutions in the interval [0, 2π). 7 tan3x - 21 tan x = 0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@Nnesha
Nnesha
  • Nnesha
same like last one let tan x =a then take out common factor
anonymous
  • anonymous
so quadratic equation again?

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Nnesha
  • Nnesha
ye... but first you should find out common factor
Nnesha
  • Nnesha
\[\huge\rm 7a^3 -21 a = 0\] what is common factor ?
anonymous
  • anonymous
7 is a common factor
Nnesha
  • Nnesha
yes right and what else ?
anonymous
  • anonymous
7a(a^2-3)=0
Nnesha
  • Nnesha
yep right set both 7a and a^2 -3 equal to zero solve for a
anonymous
  • anonymous
a=0 and a=sqrt.3
Nnesha
  • Nnesha
yep that means tan x = 0 and tanx = sqrt{3} unit circle!
Nnesha
  • Nnesha
tan = sin /cos
anonymous
  • anonymous
so wait what would I look for
Nnesha
  • Nnesha
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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