What is the general solution for solvefor x,y= 1/(tan(x*pi)) ?

The general solution for solvefor x,y= 1/(tan(x*pi)) is x=(arctan(1/y))/pi+n

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solvefor x,y= 1/(tan(x*pi))

solve for

x, y = \frac{1}{tan ( x \cdot π )}

x = \frac{arctan ( \frac{1}{y} )}{π} + n

Solution steps

y = \frac{1}{tan ( x π )}

Switch sides

\frac{1}{tan ( x π )} = y

Multiply both sides by

tan (x π)

\frac{1}{tan ( x π )} = y

Multiply both sides by

tan (x π)

\frac{1}{tan ( x π )} tan (x π) = y tan (x π)

Simplify

1 = y tan (x π)

1 = y tan (x π)

Switch sides

y tan (x π) = 1

Divide both sides by

y; y \neq = 0

y tan (x π) = 1

Divide both sides by

y; y \neq = 0

\frac{y tan ( x π )}{y} = \frac{1}{y}; y \neq = 0

Simplify

tan (x π) = \frac{1}{y}; y \neq = 0

tan (x π) = \frac{1}{y}; y \neq = 0

Apply trig inverse properties

tan (x π) = \frac{1}{y}

General solutions for

tan (x π) = \frac{1}{y}

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

x π = arctan (\frac{1}{y}) + πn

x π = arctan (\frac{1}{y}) + πn

Solve

x π = arctan (\frac{1}{y}) + πn : x = \frac{arctan ( \frac{1}{y} )}{π} + n

x π = arctan (\frac{1}{y}) + πn

Divide both sides by

π

x π = arctan (\frac{1}{y}) + πn

Divide both sides by

π

\frac{x π}{π} = \frac{arctan ( \frac{1}{y} )}{π} + \frac{πn}{π}

Simplify

x = \frac{arctan ( \frac{1}{y} )}{π} + n

x = \frac{arctan ( \frac{1}{y} )}{π} + n

x = \frac{arctan ( \frac{1}{y} )}{π} + n

cos (x) = sin (\frac{7 π}{6})

100 = 100 + 30 sin (\frac{12 π}{5} t)

\frac{10}{sin ( x )} = \frac{100}{sin ( 9 0 ^{\circ} )}

\frac{sin ( 12 0 ^{\circ} )}{2.34} = \frac{sin ( θ )}{1.2}

tan (x) = \frac{12}{50}

What is the general solution for solvefor x,y= 1/(tan(x*pi)) ?
The general solution for solvefor x,y= 1/(tan(x*pi)) is x=(arctan(1/y))/pi+n