Question

Find all solutions in the interval [0, 2π).

7 tan3x - 21 tan x = 0

Answer 1

@Nnesha

Answer 2

same like last one
let tan x =a then take out common factor

Answer 3

so quadratic equation again?

Answer 4

ye... but first you should find out common factor

Answer 5

\[\huge\rm 7a^3 -21 a = 0\] what is common factor ?

Answer 6

7 is a common factor

Answer 7

yes right and what else ?

Answer 8

7a(a^2-3)=0

Answer 9

yep right set both 7a and a^2 -3 equal to zero solve for a

Answer 10

a=0 and a=sqrt.3

Answer 11

yep that means
tan x = 0 and tanx = sqrt{3}
unit circle!

Answer 12

tan = sin /cos

Answer 13

so wait what would I look for

Answer 14

tanx = 0 and tan x =sqrt 3
this one z tricky
you have to divide sin over cos to find out tan