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

The general solution for tan(θ)= 3/2 is θ=0.98279…+pin

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tan(θ)= 3/2

tan (θ) = \frac{3}{2}

θ = 0.98279 \dots + πn

Degrees

θ = 56.30993 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{3}{2}

Apply trig inverse properties

tan (θ) = \frac{3}{2}

General solutions for

tan (θ) = \frac{3}{2}

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

θ = arctan (\frac{3}{2}) + πn

θ = arctan (\frac{3}{2}) + πn

Show solutions in decimal form

θ = 0.98279 \dots + πn

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

cos^{2} (x) + 2 cos (x) - 3 = 0

cos (θ) = \frac{3}{4}

sin (x) - 3 cos (x) = 0

cot (θ) = - 3

What is the general solution for tan(θ)= 3/2 ?
The general solution for tan(θ)= 3/2 is θ=0.98279…+pin