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

The general solution for tan(θ)= 2/5 ,pi<θ<(3pi)/2 is θ=0.38050…+pi

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tan(θ)= 2/5 ,pi<θ<(3pi)/2

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

θ = 0.38050 \dots + π

Solution steps

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

Apply trig inverse properties

θ = arctan (\frac{2}{5}) + πn

Solutions for the range

π < θ < \frac{3 π}{2}

θ = arctan (\frac{2}{5}) + π

Show solutions in decimal form

θ = 0.38050 \dots + π

sin (2 θ) = 2 sin (θ)

sec (3 x) = - 2

8 cos (θ) = 2 sec (θ)

2 sin (x) - csc (x) = 0

sin (x) + sin (x) = 0

What is the general solution for tan(θ)= 2/5 ,pi<θ<(3pi)/2 ?
The general solution for tan(θ)= 2/5 ,pi<θ<(3pi)/2 is θ=0.38050…+pi