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

The general solution for tan(2x)=(-270-120)/(130) is x=-(1.24904…)/2+(pin)/2

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

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

x = - \frac{1.24904 \dots}{2} + \frac{πn}{2}

Solution steps

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

Simplify

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

Apply trig inverse properties

2 x = arctan (- 3) + πn

Solve

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

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

Show solutions in decimal form

x = - \frac{1.24904 \dots}{2} + \frac{πn}{2}

cos^{2} (θ) = \frac{2 - 3}{4}

sin (2 x) = \frac{π}{6}

sin (x) = \frac{8}{17} sin (2 x)

2 = 1 + sin (2 x)

cosh (x - 1) = 2

What is the general solution for tan(2x)=(-270-120)/(130) ?
The general solution for tan(2x)=(-270-120)/(130) is x=-(1.24904…)/2+(pin)/2