What is the general solution for 5cos(x)=1 ?

The general solution for 5cos(x)=1 is x=1.36943…+2pin,x=2pi-1.36943…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

5cos(x)=1

5 cos (x) = 1

x = 1.36943 \dots + 2 πn, x = 2 π - 1.36943 \dots + 2 πn

Degrees

x = 78.46304 \dots^{\circ} + 36 0^{\circ} n, x = 281.53695 \dots^{\circ} + 36 0^{\circ} n

Solution steps

5 cos (x) = 1

Divide both sides by

5

5 cos (x) = 1

Divide both sides by

5

\frac{5 cos ( x )}{5} = \frac{1}{5}

Simplify

cos (x) = \frac{1}{5}

cos (x) = \frac{1}{5}

Apply trig inverse properties

cos (x) = \frac{1}{5}

General solutions for

cos (x) = \frac{1}{5}

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

x = arccos (\frac{1}{5}) + 2 πn, x = 2 π - arccos (\frac{1}{5}) + 2 πn

x = arccos (\frac{1}{5}) + 2 πn, x = 2 π - arccos (\frac{1}{5}) + 2 πn

Show solutions in decimal form

x = 1.36943 \dots + 2 πn, x = 2 π - 1.36943 \dots + 2 πn

What is the general solution for 5cos(x)=1 ?
The general solution for 5cos(x)=1 is x=1.36943…+2pin,x=2pi-1.36943…+2pin