What is the general solution for tan(x/2)=(4-pi)/pi ?

The general solution for tan(x/2)=(4-pi)/pi is x=2*0.26672…+2pin

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tan(x/2)=(4-pi)/pi

tan (\frac{x}{2}) = \frac{4 - π}{π}

x = 2 \cdot 0.26672 \dots + 2 πn

Solution steps

tan (\frac{x}{2}) = \frac{4 - π}{π}

Apply trig inverse properties

\frac{x}{2} = arctan (\frac{4 - π}{π}) + πn

Solve

\frac{x}{2} = arctan (\frac{4 - π}{π}) + πn : x = 2 arctan (\frac{4 - π}{π}) + 2 πn

x = 2 arctan (\frac{4 - π}{π}) + 2 πn

Show solutions in decimal form

x = 2 \cdot 0.26672 \dots + 2 πn

sin^{2} (x) = sin^{2} (x) sec (x)

sin (x) - cos (x) = 2

sin (x) = \frac{4.2}{9.5}

cos (x) = \frac{4.6}{8.6}

5 tan (x) + 5 tan^{2} (x) = 0

What is the general solution for tan(x/2)=(4-pi)/pi ?
The general solution for tan(x/2)=(4-pi)/pi is x=2*0.26672…+2pin