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

The general solution for 3(tan(θ)-2)=2tan(θ)-7 is θ=(3pi)/4+pin

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3(tan(θ)-2)=2tan(θ)-7

3 (tan (θ) - 2) = 2 tan (θ) - 7

θ = \frac{3 π}{4} + πn

Solution steps

3 (tan (θ) - 2) = 2 tan (θ) - 7

Solve by substitution

tan (θ) = - 1

tan (θ) = - 1 : θ = \frac{3 π}{4} + πn

Combine all the solutions

θ = \frac{3 π}{4} + πn

3 tan (θ) + 1 = 0, 0 \leq θ \leq 2 π

tan (x) = tan^{2} (x)

y, sin (x y) = x

tan (x) sec (x) = tan (x)

1 - sin (2 x) = cos (2 x)

What is the general solution for 3(tan(θ)-2)=2tan(θ)-7 ?
The general solution for 3(tan(θ)-2)=2tan(θ)-7 is θ=(3pi)/4+pin