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

The general solution for sqrt(tan(x))=sqrt(1/3) is x=0.32175…+pin

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sqrt(tan(x))=sqrt(1/3)

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

x = 0.32175 \dots + πn

Solution steps

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

Square both sides:

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

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

Verify Solutions:

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

True

The solution is

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

Apply trig inverse properties

x = arctan (\frac{1}{3}) + πn

Show solutions in decimal form

x = 0.32175 \dots + πn

sin (x) sin (2 x) - 2 cos (x) cos (2 x) = 0

a, y = sin (a)

cot^{2} (x) + csc (x) + 1 = 0

csc (θ) = 1.7824

- 22 cos (θ) = 2

What is the general solution for sqrt(tan(x))=sqrt(1/3) ?
The general solution for sqrt(tan(x))=sqrt(1/3) is x=0.32175…+pin