What is the general solution for tan(θ)= 6/5 ,pi<θ<(3pi)/2 ?

The general solution for tan(θ)= 6/5 ,pi<θ<(3pi)/2 is θ=0.87605…+pi

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tan(θ)= 6/5 ,pi<θ<(3pi)/2

tan (θ) = \frac{6}{5}, π < θ < \frac{3 π}{2}

θ = 0.87605 \dots + π

Degrees

θ = 230.19442 \dots^{\circ}

Solution steps

tan (θ) = \frac{6}{5}, π < θ < \frac{3 π}{2}

Apply trig inverse properties

tan (θ) = \frac{6}{5}

General solutions for

tan (θ) = \frac{6}{5}

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

θ = arctan (\frac{6}{5}) + πn

θ = arctan (\frac{6}{5}) + πn

Solutions for the range

π < θ < \frac{3 π}{2}

θ = arctan (\frac{6}{5}) + π

Show solutions in decimal form

θ = 0.87605 \dots + π

sin (x) + sin (9 0^{\circ} - x) = sin (9 0^{\circ})

sin (x) - 2 cos (x) cot (x) = csc (x)

sin (2 x) = cos (x - 6 0^{\circ})

tan (18 0^{\circ} - θ) = 33

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

What is the general solution for tan(θ)= 6/5 ,pi<θ<(3pi)/2 ?
The general solution for tan(θ)= 6/5 ,pi<θ<(3pi)/2 is θ=0.87605…+pi