Solve the equation for 0 x 360 tanx 6 3tanx 4 a 45 and 2

Solve the equation for 0 x < 360.
tan(x) + 6 = 3tan(x) + 4

a. 45 and 225 degrees
b. 135 and 315 degrees
c. 135 and 225 degrees
d. 225 and 315 degrees

Solution

given tan(x) + 6 = 3tan(x) + 4

3tan(x) + 4 = tan(x) + 6

3tan(x) - tan(x) = 6-4

2tan(x) =2

tan(x)=1

in the interval 0 x < 360

x = 45 and 225 degrees