SOLUTION: Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.) tan^2 9x = 3

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.) tan^2 9x = 3       Log On


   



Question 790924: Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.)
tan^2 9x = 3

Answer by lwsshak3(11628) About Me  (Show Source):
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Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.)
assume:[0,2π]
tan^2 9x = 3
tan(9x)=±√3
..
9x=√3
9x=π/3,4π/3 (In quadrants I and III where tan>0)
x=π/27,4π/27
or
9x=-√3
9x=2π/3,5π/3 (In quadrants II and IV where tan<0)
x=2π/27,5π/27