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

The general solution for tan(θ)=(sqrt(3))/2 is θ=0.71372…+pin

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tan(θ)=(sqrt(3))/2

tan (θ) = \frac{3}{2}

θ = 0.71372 \dots + πn

Degrees

θ = 40.89339 \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 = 0.71372 \dots + πn

5 sin (θ) + 7 = 0

5 sin (x) tan (x) + 4 tan (x) = 0

y, tan (y) = x

2 cos (x) + 5 = 4

cos (x) = - 0.64

What is the general solution for tan(θ)=(sqrt(3))/2 ?
The general solution for tan(θ)=(sqrt(3))/2 is θ=0.71372…+pin