Solve the equation Enter your answers as a commaseparated li

Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.)

tan² 8x = 3

x =

Solution

tan^2(8x) = 3

( tan8x - sqrt3 )( tan8x + sqrt3) =0

tan8x = sqrt3

x = (pi +3pi*n)/24

tan8x =- sqrt3

x = (2pi +3pi*n)/24