What is the general solution for tan(θ)= 1/2 ,pi<θ<(3pi)/2 ?

The general solution for tan(θ)= 1/2 ,pi<θ<(3pi)/2 is θ=0.46364…+pi

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tan(θ)= 1/2 ,pi<θ<(3pi)/2

tan (θ) = \frac{1}{2}, π < θ < \frac{3 π}{2}

θ = 0.46364 \dots + π

Degrees

θ = 206.56505 \dots^{\circ}

Solution steps

tan (θ) = \frac{1}{2}, π < θ < \frac{3 π}{2}

Apply trig inverse properties

tan (θ) = \frac{1}{2}

General solutions for

tan (θ) = \frac{1}{2}

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

θ = arctan (\frac{1}{2}) + πn

θ = arctan (\frac{1}{2}) + πn

Solutions for the range

π < θ < \frac{3 π}{2}

θ = arctan (\frac{1}{2}) + π

Show solutions in decimal form

θ = 0.46364 \dots + π

\frac{7}{2} = 3 sin (b (\frac{π}{2})) + 2

cos (x) = \frac{2}{8}

y, x = 4 sin (2 y)

cos^{2} (x) - \frac{5}{2} cos (x) - \frac{3}{2} = 0

x, sin (4 x) = \frac{1}{2}

What is the general solution for tan(θ)= 1/2 ,pi<θ<(3pi)/2 ?
The general solution for tan(θ)= 1/2 ,pi<θ<(3pi)/2 is θ=0.46364…+pi