What is the general solution for tan(2x)=-1.238 ?

The general solution for tan(2x)=-1.238 is x=-(0.89134…)/2+(pin)/2

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tan(2x)=-1.238

tan (2 x) = - 1.238

x = - \frac{0.89134 \dots}{2} + \frac{πn}{2}

Solution steps

tan (2 x) = - 1.238

Apply trig inverse properties

2 x = arctan (- 1.238) + πn

Solve

2 x = arctan (- 1.238) + πn : x = - \frac{arctan ( \frac{619}{500} )}{2} + \frac{πn}{2}

x = - \frac{arctan ( \frac{619}{500} )}{2} + \frac{πn}{2}

Show solutions in decimal form

x = - \frac{0.89134 \dots}{2} + \frac{πn}{2}

tan (θ) = π

csc^{2} (x) + 2 cot^{2} (x) = 1

3 csc (2 x) + 2 = 0

x, 2 cos^{2} (x) - 1 = 0

- 25 sin (5 x) = 0

What is the general solution for tan(2x)=-1.238 ?
The general solution for tan(2x)=-1.238 is x=-(0.89134…)/2+(pin)/2