What is the general solution for tan(2x)=(130)/(-270-120) ?

The general solution for tan(2x)=(130)/(-270-120) is x=-(0.32175…)/2+(pin)/2

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tan(2x)=(130)/(-270-120)

tan (2 x) = \frac{130}{- 270 - 120}

x = - \frac{0.32175 \dots}{2} + \frac{πn}{2}

Solution steps

tan (2 x) = \frac{130}{- 270 - 120}

Simplify

\frac{130}{- 270 - 120} : - \frac{1}{3}

Apply trig inverse properties

2 x = arctan (- \frac{1}{3}) + πn

Solve

2 x = arctan (- \frac{1}{3}) + πn : x = - \frac{arctan ( \frac{1}{3} )}{2} + \frac{πn}{2}

x = - \frac{arctan ( \frac{1}{3} )}{2} + \frac{πn}{2}

Show solutions in decimal form

x = - \frac{0.32175 \dots}{2} + \frac{πn}{2}

- 3 sin (x) - 2 cos (2 x) = 0

2 cos (x) tan (x) = 1

sin (10 x) = sin (7 x)

185 = \frac{220 2}{π} - cos (π) + cos (x)

x, 2 sin^{2} (x) = sin (x)

What is the general solution for tan(2x)=(130)/(-270-120) ?
The general solution for tan(2x)=(130)/(-270-120) is x=-(0.32175…)/2+(pin)/2