What is the general solution for 5/(tan(x))=-2 ?

The general solution for 5/(tan(x))=-2 is x=-1.19028…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5/(tan(x))=-2

\frac{5}{tan ( x )} = - 2

x = - 1.19028 \dots + πn

Degrees

x = - 68.19859 \dots^{\circ} + 18 0^{\circ} n

Solution steps

\frac{5}{tan ( x )} = - 2

Multiply both sides by

tan (x)

\frac{5}{tan ( x )} = - 2

Multiply both sides by

tan (x)

\frac{5}{tan ( x )} tan (x) = - 2 tan (x)

Simplify

5 = - 2 tan (x)

5 = - 2 tan (x)

Switch sides

- 2 tan (x) = 5

Divide both sides by

- 2

- 2 tan (x) = 5

Divide both sides by

- 2

\frac{- 2 tan ( x )}{- 2} = \frac{5}{- 2}

Simplify

tan (x) = - \frac{5}{2}

tan (x) = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

tan (x) = 0

Take the denominator(s) of

\frac{5}{tan ( x )}

and compare to zero

tan (x) = 0

The following points are undefined

tan (x) = 0

Combine undefined points with solutions:

tan (x) = - \frac{5}{2}

Apply trig inverse properties

tan (x) = - \frac{5}{2}

General solutions for

tan (x) = - \frac{5}{2}

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

x = arctan (- \frac{5}{2}) + πn

x = arctan (- \frac{5}{2}) + πn

Show solutions in decimal form

x = - 1.19028 \dots + πn

tan^{22} (x) = sec^{2} (x) - 1

tan^{4} (x) + tan^{2} (x) = tan (x)

sin^{4} (x) + sin^{2} (x) = sin^{6} (x)

cos (a) = \frac{- 11}{14}

x, sin (\frac{x}{x}) = 0.7

What is the general solution for 5/(tan(x))=-2 ?
The general solution for 5/(tan(x))=-2 is x=-1.19028…+pin