What is the general solution for tan(x)=sqrt(1/3) ?

The general solution for tan(x)=sqrt(1/3) is x=0.52359…+pin

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tan(x)=sqrt(1/3)

tan (x) = \frac{1}{3}

x = 0.52359 \dots + πn

Degrees

x = 3 0^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{1}{3}

Apply trig inverse properties

tan (x) = \frac{1}{3}

General solutions for

tan (x) = \frac{1}{3}

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

x = arctan (\frac{1}{3}) + πn

x = arctan (\frac{1}{3}) + πn

Show solutions in decimal form

x = 0.52359 \dots + πn

cos (θ) + 1 = 2 sin^{2} (θ)

4 sin (θ) + 3 = 0

cos (θ) = \frac{20}{29}

- cos^{2} (θ) + sin^{2} (θ) = 1 + cos (θ)

sin (x) - 3 cos (x) = 1

What is the general solution for tan(x)=sqrt(1/3) ?
The general solution for tan(x)=sqrt(1/3) is x=0.52359…+pin