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

The general solution for tan(θ)=(3sqrt(5))/2 is θ=1.28104…+pin

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tan(θ)=(3sqrt(5))/2

tan (θ) = \frac{3 5}{2}

θ = 1.28104 \dots + πn

Degrees

θ = 73.39845 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{3 5}{2}

Apply trig inverse properties

tan (θ) = \frac{3 5}{2}

General solutions for

tan (θ) = \frac{3 5}{2}

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

θ = arctan (\frac{3 5}{2}) + πn

θ = arctan (\frac{3 5}{2}) + πn

Show solutions in decimal form

θ = 1.28104 \dots + πn

sin (x + \frac{π}{2}) + cos^{2} (x) = 0

3 sin^{2} (x) - sin (x) - 4 = 0

sin (3 x) = sin^{2} (x)

2 cot (x) + 3 = 0

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

What is the general solution for tan(θ)=(3sqrt(5))/2 ?
The general solution for tan(θ)=(3sqrt(5))/2 is θ=1.28104…+pin