What is the general solution for tan(θ)= 4/3 ,pi<θ<(3pi)/2 ?

The general solution for tan(θ)= 4/3 ,pi<θ<(3pi)/2 is θ=0.92729…+pi

tan(θ)= 4/3 ,pi<θ<(3pi)/2

tan (θ) = \frac{4}{3}, π < θ < \frac{3 π}{2}

θ = 0.92729 \dots + π

Degrees

θ = 233.13010 \dots^{\circ}

Solution steps

tan (θ) = \frac{4}{3}, π < θ < \frac{3 π}{2}

Apply trig inverse properties

tan (θ) = \frac{4}{3}

General solutions for

tan (θ) = \frac{4}{3}

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

θ = arctan (\frac{4}{3}) + πn

θ = arctan (\frac{4}{3}) + πn

Solutions for the range

π < θ < \frac{3 π}{2}

θ = arctan (\frac{4}{3}) + π

Show solutions in decimal form

θ = 0.92729 \dots + π

3 csc (x) - 4 = 0

sin (x) = \frac{7}{8}

3 cos (2 x) - 2 cos^{2} (x) - 5 = 2 cos^{2} (x) - 7

sin (3 x + 48) = cos (1 0^{\circ} - x)

2 sin (\frac{θ}{3}) + 3 = 0, 0 \leq θ \leq 2 π

What is the general solution for tan(θ)= 4/3 ,pi<θ<(3pi)/2 ?
The general solution for tan(θ)= 4/3 ,pi<θ<(3pi)/2 is θ=0.92729…+pi