What is the general solution for tan(x)=(-25}{\frac{-80-50)/2} ?

The general solution for tan(x)=(-25}{\frac{-80-50)/2} is x=0.36717…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(x)=(-25}{\frac{-80-50)/2}

tan (x) = \frac{- 25}{\frac{- 80 - 50}{2}}

x = 0.36717 \dots + πn

Solution steps

tan (x) = \frac{- 25}{\frac{- 80 - 50}{2}}

Simplify

\frac{- 25}{\frac{- 80 - 50}{2}} : \frac{5}{13}

\frac{- 25}{\frac{- 80 - 50}{2}}

\frac{- 80 - 50}{2} = - \frac{130}{2}

\frac{- 80 - 50}{2}

Subtract the numbers:

- 80 - 50 = - 130

= \frac{- 130}{2}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{130}{2}

= \frac{- 25}{- \frac{130}{2}}

Apply the fraction rule:

\frac{- a}{- b} = \frac{a}{b}

= \frac{25}{\frac{130}{2}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{25 \cdot 2}{130}

Multiply the numbers:

25 \cdot 2 = 50

= \frac{50}{130}

Cancel the common factor:

10

= \frac{5}{13}

Apply trig inverse properties

tan (x) = \frac{5}{13}

General solutions for

tan (x) = \frac{5}{13}

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

x = arctan (\frac{5}{13}) + πn

x = arctan (\frac{5}{13}) + πn

Show solutions in decimal form

x = 0.36717 \dots + πn

4 cos^{2} (A) - 3 = 0

\frac{sin ( 4 2 ^{\circ} )}{6.25} = \frac{sin ( x )}{9}

\frac{tan ( x ) + cot ( x )}{csc ( x )} = cos (x)

tan (θ) = - \frac{3}{7}

sin (2 x) = 0, - π \leq x \leq π

What is the general solution for tan(x)=(-25}{\frac{-80-50)/2} ?
The general solution for tan(x)=(-25}{\frac{-80-50)/2} is x=0.36717…+pin