Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.)tan2 3x = 3?

2016-06-24 11:41 am
Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.)
tan2 3x = 3
x=?

回答 (2)

2016-06-24 11:48 am
tan²(3x) = 3

tan(3x) = √3 or tan(3x) = -√3

3x = nπ + (π/3), nπ + (2π/3)

x = (nπ/3) + (π/9), x = (nπ/3) + (2π/9)
2016-06-24 3:24 pm
tan^2 (3x) = 3
tan (3x) = ±√3

3x = pi/3 + n pi , where n is any integer
3x = -pi/3 + n pi , where n is any integer

x = pi/9 + n pi/3 , where n is any integer
x = -pi/9 + n pi/3 , where n is any integer


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