What is the general solution for tan(x)= 2/3 ?

The general solution for tan(x)= 2/3 is x=0.58800…+pin

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tan(x)= 2/3

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

x = 0.58800 \dots + πn

Degrees

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

Solution steps

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

3 sec (x) - 2 = 0

(tan (x) + 1) (2 cos (x) - 3) = 0

sin (2 x) = 2 cos (x)

\frac{2}{2} csc (x) - 1 = 0

cos (3 x) cos (x) = sin (3 x) sin (x)

What is the general solution for tan(x)= 2/3 ?
The general solution for tan(x)= 2/3 is x=0.58800…+pin