What is the general solution for (sin(x))/(cos(x))= 1/3 ?

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

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

\frac{sin ( x )}{cos ( x )} = \frac{1}{3}

x = 0.32175 \dots + πn

Solution steps

\frac{sin ( x )}{cos ( x )} = \frac{1}{3}

Rewrite using trig identities

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

5 sin (θ) + 4 = 0

sin (\frac{5 x}{2}) = 0

sin (3 x - \frac{2 π}{3}) = - \frac{1}{2}

1 - cos (θ) = 1

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

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