What is the general solution for 3/2 tan(2x+135)=-(sqrt(3))/2 ?

The general solution for 3/2 tan(2x+135)=-(sqrt(3))/2 is x=-135/2+(5pi}{12}+\frac{pin)/2

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3/2 tan(2x+135)=-(sqrt(3))/2

\frac{3}{2} tan (2 x + 135) = - \frac{3}{2}

x = - \frac{135}{2} + \frac{5 π}{12} + \frac{πn}{2}

Solution steps

\frac{3}{2} tan (2 x + 135) = - \frac{3}{2}

Multiply both sides by

2

3 tan (2 x + 135) = - 3

Divide both sides by

3

tan (2 x + 135) = - \frac{3}{3}

General solutions for

tan (2 x + 135) = - \frac{3}{3}

2 x + 135 = \frac{5 π}{6} + πn

Solve

2 x + 135 = \frac{5 π}{6} + πn : x = - \frac{135}{2} + \frac{5 π}{12} + \frac{πn}{2}

x = - \frac{135}{2} + \frac{5 π}{12} + \frac{πn}{2}

6 sin^{2} (θ) - 5 sin (θ) = - 1

csc (x) = - 4

tan (x) = - 3, - 27 0^{\circ} \leq x \leq 27 0^{\circ}

5 cos^{2} (θ) = - 13 cos (θ) + 6

- 3 sin (x) - cos (x) = 0

What is the general solution for 3/2 tan(2x+135)=-(sqrt(3))/2 ?
The general solution for 3/2 tan(2x+135)=-(sqrt(3))/2 is x=-135/2+(5pi}{12}+\frac{pin)/2