What is the general solution for 10cos(x)=8 ?

The general solution for 10cos(x)=8 is x=0.64350…+2pin,x=2pi-0.64350…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

10cos(x)=8

10 cos (x) = 8

x = 0.64350 \dots + 2 πn, x = 2 π - 0.64350 \dots + 2 πn

Degrees

x = 36.86989 \dots^{\circ} + 36 0^{\circ} n, x = 323.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

10 cos (x) = 8

Divide both sides by

10

10 cos (x) = 8

Divide both sides by

10

\frac{10 cos ( x )}{10} = \frac{8}{10}

Simplify

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

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 = 2 π - arccos (a) + 2 πn

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

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

Show solutions in decimal form

x = 0.64350 \dots + 2 πn, x = 2 π - 0.64350 \dots + 2 πn

What is the general solution for 10cos(x)=8 ?
The general solution for 10cos(x)=8 is x=0.64350…+2pin,x=2pi-0.64350…+2pin