What is the general solution for tan(x)= 5/(8.66) ?

The general solution for tan(x)= 5/(8.66) is x=0.52361…+pin

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tan(x)= 5/(8.66)

tan (x) = \frac{5}{8.66}

x = 0.52361 \dots + πn

Degrees

x = 30.00072 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{5}{8.66}

Apply trig inverse properties

tan (x) = \frac{5}{8.66}

General solutions for

tan (x) = \frac{5}{8.66}

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

x = arctan (\frac{5}{8.66}) + πn

x = arctan (\frac{5}{8.66}) + πn

Show solutions in decimal form

x = 0.52361 \dots + πn

3 tan (x) - 4 = tan (x) - 2

0 = - sin (x) - 1

\frac{1 + 2 cos ( x )}{2} = 1

4 cos^{2} (x) + 2 sin^{2} (x) = 3

2 - 3 cos (a) = cos (a) + 2

What is the general solution for tan(x)= 5/(8.66) ?
The general solution for tan(x)= 5/(8.66) is x=0.52361…+pin