What is the general solution for tan(x)= 3/(sqrt(205)) ?

The general solution for tan(x)= 3/(sqrt(205)) is x=0.20654…+pin

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tan(x)= 3/(sqrt(205))

tan (x) = \frac{3}{205}

x = 0.20654 \dots + πn

Solution steps

tan (x) = \frac{3}{205}

Simplify

\frac{3}{205} : \frac{3 205}{205}

\frac{3}{205}

Multiply by the conjugate

\frac{205}{205}

= \frac{3 205}{205 205}

205205 = 205

205205

Apply radical rule:

a a = a

205205 = 205

= 205

= \frac{3 205}{205}

tan (x) = \frac{3 205}{205}

Apply trig inverse properties

tan (x) = \frac{3 205}{205}

General solutions for

tan (x) = \frac{3 205}{205}

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

x = arctan (\frac{3 205}{205}) + πn

x = arctan (\frac{3 205}{205}) + πn

Show solutions in decimal form

x = 0.20654 \dots + πn

What is the general solution for tan(x)= 3/(sqrt(205)) ?
The general solution for tan(x)= 3/(sqrt(205)) is x=0.20654…+pin