What is the general solution for tan(x)-tan(pi/(18))=1+tan(x)tan(pi/(18)) ?

The general solution for tan(x)-tan(pi/(18))=1+tan(x)tan(pi/(18)) is x=0.95993…+pin

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tan(x)-tan(pi/(18))=1+tan(x)tan(pi/(18))

tan (x) - tan (\frac{π}{18}) = 1 + tan (x) tan (\frac{π}{18})

x = 0.95993 \dots + πn

Solution steps

tan (x) - tan (\frac{π}{18}) = 1 + tan (x) tan (\frac{π}{18})

Solve by substitution

tan (x) = \frac{1 + tan ( \frac{π}{18} )}{1 - tan ( \frac{π}{18} )}

tan (x) = \frac{1 + tan ( \frac{π}{18} )}{1 - tan ( \frac{π}{18} )} : x = arctan (\frac{1 + tan ( \frac{π}{18} )}{1 - tan ( \frac{π}{18} )}) + πn

Combine all the solutions

x = arctan (\frac{1 + tan ( \frac{π}{18} )}{1 - tan ( \frac{π}{18} )}) + πn

Show solutions in decimal form

x = 0.95993 \dots + πn

cos (θ) = \frac{2}{5}, cot (θ) < 0

θ, cos (θ) = \frac{2}{2}

b, s (t) = tan (b t^{2})

tan (x) = \frac{80}{90}

- \frac{5}{4} = cos (x)

What is the general solution for tan(x)-tan(pi/(18))=1+tan(x)tan(pi/(18)) ?
The general solution for tan(x)-tan(pi/(18))=1+tan(x)tan(pi/(18)) is x=0.95993…+pin