What is the general solution for tan(x)=2+tan^3(x) ?

The general solution for tan(x)=2+tan^3(x) is x=-0.98930…+pin

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tan(x)=2+tan^3(x)

tan (x) = 2 + tan^{3} (x)

x = - 0.98930 \dots + πn

Solution steps

tan (x) = 2 + tan^{3} (x)

Solve by substitution

tan (x) \approx - 1.52137 \dots

tan (x) = - 1.52137 \dots : x = arctan (- 1.52137 \dots) + πn

Combine all the solutions

x = arctan (- 1.52137 \dots) + πn

Show solutions in decimal form

x = - 0.98930 \dots + πn

2 \cdot sin (a) = sin (3 a)

\frac{cos ( x ) + 5 sin ( x )}{2 - 3} = 0

sin (y) = \frac{2}{3}

sin (a) = 0.6625

6 - 4 cos^{2} (x) - 9 sin (x) = 0

What is the general solution for tan(x)=2+tan^3(x) ?
The general solution for tan(x)=2+tan^3(x) is x=-0.98930…+pin