What is the general solution for tan^2(x)-sqrt(3)tan(x)=0,0<= x<= 2pi ?

The general solution for tan^2(x)-sqrt(3)tan(x)=0,0<= x<= 2pi is x= pi/3 ,x=(4pi)/3 ,x=0,x=pi,x=2pi

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tan^2(x)-sqrt(3)tan(x)=0,0<= x<= 2pi

tan^{2} (x) - 3 tan (x) = 0, 0 \leq x \leq 2 π

x = \frac{π}{3}, x = \frac{4 π}{3}, x = 0, x = π, x = 2 π

Solution steps

tan^{2} (x) - 3 tan (x) = 0, 0 \leq x \leq 2 π

Solve by substitution

tan (x) = 3, tan (x) = 0

tan (x) = 3, 0 \leq x \leq 2 π : x = \frac{π}{3}, x = \frac{4 π}{3}

tan (x) = 0, 0 \leq x \leq 2 π : x = 0, x = π, x = 2 π

Combine all the solutions

x = \frac{π}{3}, x = \frac{4 π}{3}, x = 0, x = π, x = 2 π

75 = 50 cosh (\frac{x}{50})

arcsin (\frac{1}{z}) = 0

3 sin^{2} (θ) - 4 = - 4 sin (θ)

2 cos^{2} (x) - 1 + cos (x) = 0

4 cot (θ) sin (θ) = 2

What is the general solution for tan^2(x)-sqrt(3)tan(x)=0,0<= x<= 2pi ?
The general solution for tan^2(x)-sqrt(3)tan(x)=0,0<= x<= 2pi is x= pi/3 ,x=(4pi)/3 ,x=0,x=pi,x=2pi