What is the general solution for 2.55= 1/(tan(x)) ?

The general solution for 2.55= 1/(tan(x)) is x=0.37372…+pin

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2.55= 1/(tan(x))

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

x = 0.37372 \dots + πn

Solution steps

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

Switch sides

\frac{1}{tan ( x )} = 2.55

Multiply both sides by

tan (x)

1 = 2.55 tan (x)

Switch sides

2.55 tan (x) = 1

Multiply both sides by

100

255 tan (x) = 100

Divide both sides by

255

tan (x) = \frac{20}{51}

Verify Solutions

Find undefined (singularity) points:

tan (x) = 0

Combine undefined points with solutions:

tan (x) = \frac{20}{51}

Apply trig inverse properties

x = arctan (\frac{20}{51}) + πn

Show solutions in decimal form

x = 0.37372 \dots + πn

tan (5 x) = cot (x)

\frac{1}{4} sin (8 x) = - \frac{1}{8}, 2 cos (8 x) = 3

sin (x) - sin (2 x) = 0, 0 \leq x < 2 π

sin (2 x) = \frac{- 2 6}{7}

arctan (4 x) + arctan (6 x) = 90

What is the general solution for 2.55= 1/(tan(x)) ?
The general solution for 2.55= 1/(tan(x)) is x=0.37372…+pin