Solve the following equation Use the form theta 2Pie k to s

Solve the following equation. Use the form theta + 2Pie k to show exact solutions. Tan (x) + 3 cot(x) = 4

Solution

10) tanx +3cotx =4

write cotx as 1/tanx

tanx +3/tanx =4

tan²x +3=4tanx

tan²x -4tanx+3=0

tan²x -3tanx -tanx+3=0

tanx(tanx -3)-1(tanx -3)=

tanx =1 ,tanx =3

x =n+(/4) , x=n +tan^-13