What is the general solution for cos(x)=(-4)/5 ?

The general solution for cos(x)=(-4)/5 is x=2.49809…+2pin,x=-2.49809…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

cos(x)=(-4)/5

cos (x) = \frac{- 4}{5}

x = 2.49809 \dots + 2 πn, x = - 2.49809 \dots + 2 πn

Degrees

x = 143.13010 \dots^{\circ} + 36 0^{\circ} n, x = - 143.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{- 4}{5}

Apply the fraction rule:

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

cos (x) = - \frac{4}{5}

Apply trig inverse properties

cos (x) = - \frac{4}{5}

General solutions for

cos (x) = - \frac{4}{5}

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

x = arccos (- \frac{4}{5}) + 2 πn, x = - arccos (- \frac{4}{5}) + 2 πn

x = arccos (- \frac{4}{5}) + 2 πn, x = - arccos (- \frac{4}{5}) + 2 πn

Show solutions in decimal form

x = 2.49809 \dots + 2 πn, x = - 2.49809 \dots + 2 πn

What is the general solution for cos(x)=(-4)/5 ?
The general solution for cos(x)=(-4)/5 is x=2.49809…+2pin,x=-2.49809…+2pin