What is the general solution for 7tan(θ)=2sqrt(3)+tan(θ) ?

The general solution for 7tan(θ)=2sqrt(3)+tan(θ) is θ= pi/6+pin

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7tan(θ)=2sqrt(3)+tan(θ)

7 tan (θ) = 23 + tan (θ)

θ = \frac{π}{6} + πn

Solution steps

7 tan (θ) = 23 + tan (θ)

Solve by substitution

tan (θ) = \frac{3}{3}

tan (θ) = \frac{3}{3} : θ = \frac{π}{6} + πn

Combine all the solutions

θ = \frac{π}{6} + πn

sin (x) sin (\frac{x}{2}) = 1 - cos (x)

24 tan^{2} (x) - 8 = 0

2 sin (x - \frac{π}{3}) = 1

tan (θ) = 2.7

4 (1 + sin (θ)) = cos^{2} (θ)

What is the general solution for 7tan(θ)=2sqrt(3)+tan(θ) ?
The general solution for 7tan(θ)=2sqrt(3)+tan(θ) is θ= pi/6+pin