What is the general solution for (tan(x))/2 =1 ?

The general solution for (tan(x))/2 =1 is x=1.10714…+pin

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(tan(x))/2 =1

\frac{tan ( x )}{2} = 1

x = 1.10714 \dots + πn

Solution steps

\frac{tan ( x )}{2} = 1

Multiply both sides by

2

tan (x) = 2

Apply trig inverse properties

x = arctan (2) + πn

Show solutions in decimal form

x = 1.10714 \dots + πn

sin (2 θ) + 2 sin (θ) = 0

tan (\frac{x}{2} + π) + 1 = 0

sin (x + \frac{π}{2}) = 1

cos (x π) = - 1

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

What is the general solution for (tan(x))/2 =1 ?
The general solution for (tan(x))/2 =1 is x=1.10714…+pin