What is the general solution for tan(θ)= 8/7 ,pi<θ<(3pi)/2 ?

The general solution for tan(θ)= 8/7 ,pi<θ<(3pi)/2 is θ=0.85196…+pi

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tan(θ)= 8/7 ,pi<θ<(3pi)/2

tan (θ) = \frac{8}{7}, π < θ < \frac{3 π}{2}

θ = 0.85196 \dots + π

Degrees

θ = 228.81407 \dots^{\circ}

Solution steps

tan (θ) = \frac{8}{7}, π < θ < \frac{3 π}{2}

Apply trig inverse properties

tan (θ) = \frac{8}{7}

General solutions for

tan (θ) = \frac{8}{7}

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

θ = arctan (\frac{8}{7}) + πn

θ = arctan (\frac{8}{7}) + πn

Solutions for the range

π < θ < \frac{3 π}{2}

θ = arctan (\frac{8}{7}) + π

Show solutions in decimal form

θ = 0.85196 \dots + π

csc (θ) sin (θ) = cot (θ)

7 sin (θ) + cos (θ) = 5

tan (θ + π) + 2 sin (θ + π) = 0

sin (θ) = \frac{2}{3}, \frac{π}{2} < θ < π, cos (2 θ) = x

tan (3 x) = 2

What is the general solution for tan(θ)= 8/7 ,pi<θ<(3pi)/2 ?
The general solution for tan(θ)= 8/7 ,pi<θ<(3pi)/2 is θ=0.85196…+pi