What is the general solution for 6tan(x)=4 ?

The general solution for 6tan(x)=4 is x=0.58800…+pin

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6tan(x)=4

6 tan (x) = 4

x = 0.58800 \dots + πn

Degrees

x = 33.69006 \dots^{\circ} + 18 0^{\circ} n

Solution steps

6 tan (x) = 4

Divide both sides by

6

6 tan (x) = 4

Divide both sides by

6

\frac{6 tan ( x )}{6} = \frac{4}{6}

Simplify

tan (x) = \frac{2}{3}

tan (x) = \frac{2}{3}

Apply trig inverse properties

tan (x) = \frac{2}{3}

General solutions for

tan (x) = \frac{2}{3}

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

x = arctan (\frac{2}{3}) + πn

x = arctan (\frac{2}{3}) + πn

Show solutions in decimal form

x = 0.58800 \dots + πn

What is the general solution for 6tan(x)=4 ?
The general solution for 6tan(x)=4 is x=0.58800…+pin