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

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

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3tan(x)=1

3 tan (x) = 1

x = 0.32175 \dots + πn

Degrees

x = 18.43494 \dots^{\circ} + 18 0^{\circ} n

Solution steps

3 tan (x) = 1

Divide both sides by

3

3 tan (x) = 1

Divide both sides by

3

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

Simplify

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

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 = 0.32175 \dots + πn

- 11 cos (x) 22 - 11 sin (x) 8 = - 250

\frac{sin ( 53. 3 ^{\circ} )}{20.7} = \frac{sin ( x )}{24.9}

c, 1 = π (0) - 0 arccos (ln (0) + c)

θ, a (1 + cos (θ)) = 0

cos (θ) = \frac{1}{21}

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