What is the general solution for 3=tan^2(x) ?

The general solution for 3=tan^2(x) is x= pi/3+pin,x=(2pi)/3+pin

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3=tan^2(x)

3 = tan^{2} (x)

x = \frac{π}{3} + πn, x = \frac{2 π}{3} + πn

Solution steps

3 = tan^{2} (x)

Switch sides

tan^{2} (x) = 3

Solve by substitution

tan (x) = 3, tan (x) = - 3

tan (x) = 3 : x = \frac{π}{3} + πn

tan (x) = - 3 : x = \frac{2 π}{3} + πn

Combine all the solutions

x = \frac{π}{3} + πn, x = \frac{2 π}{3} + πn

tan (θ) csc (θ) + 2 tan (θ) = 0

250 = 88 sin (θ) + 242 cos (θ)

4 + 2 csc (\frac{θ}{2}) = 8

2 cos (3 x) = \frac{1}{2}, x = \frac{17 π}{4}

cos (θ) = sin (3 6^{\circ})

What is the general solution for 3=tan^2(x) ?
The general solution for 3=tan^2(x) is x= pi/3+pin,x=(2pi)/3+pin