What is the general solution for tan(θ)=1.5 ?

The general solution for tan(θ)=1.5 is θ=0.98279…+pin

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tan(θ)=1.5

tan (θ) = 1.5

θ = 0.98279 \dots + πn

Solution steps

tan (θ) = 1.5

Apply trig inverse properties

θ = arctan (1.5) + πn

Show solutions in decimal form

θ = 0.98279 \dots + πn

tan (arcsin (cos (x))) = - 3

4 sin (x) cos (x) = - 3

t, x = 3 cos (t)

tan^{2} (θ) = - \frac{3}{2} sec (θ), 0 \leq θ < 2 π

5 sin (x) + 3 cos (x) = 0

What is the general solution for tan(θ)=1.5 ?
The general solution for tan(θ)=1.5 is θ=0.98279…+pin