What is the general solution for solvefor x,y=2tan(x) ?

The general solution for solvefor x,y=2tan(x) is x=arctan(y/2)+pin

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solvefor x,y=2tan(x)

solve for

x, y = 2 tan (x)

x = arctan (\frac{y}{2}) + πn

Solution steps

y = 2 tan (x)

Switch sides

2 tan (x) = y

Divide both sides by

2

2 tan (x) = y

Divide both sides by

2

\frac{2 tan ( x )}{2} = \frac{y}{2}

Simplify

tan (x) = \frac{y}{2}

tan (x) = \frac{y}{2}

Apply trig inverse properties

tan (x) = \frac{y}{2}

General solutions for

tan (x) = \frac{y}{2}

tan (x) = a \Rightarrow x = arctan (a) + πn

x = arctan (\frac{y}{2}) + πn

x = arctan (\frac{y}{2}) + πn

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

tan (x) - 1 = - \frac{1}{3} + \frac{1}{3} cot (x)

tan^{2} (x) - 3 tan (x) = 0, 0 \leq x \leq 2 π

75 = 50 cosh (\frac{x}{50})

arcsin (\frac{1}{z}) = 0

What is the general solution for solvefor x,y=2tan(x) ?
The general solution for solvefor x,y=2tan(x) is x=arctan(y/2)+pin