What is the general solution for solvefor x,3=18cos(x) ?

The general solution for solvefor x,3=18cos(x) is x=1.40334…+2pin,x=2pi-1.40334…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor x,3=18cos(x)

solve for

x, 3 = 18 cos (x)

x = 1.40334 \dots + 2 πn, x = 2 π - 1.40334 \dots + 2 πn

Degrees

x = 80.40593 \dots^{\circ} + 36 0^{\circ} n, x = 279.59406 \dots^{\circ} + 36 0^{\circ} n

Solution steps

3 = 18 cos (x)

Switch sides

18 cos (x) = 3

Divide both sides by

18

18 cos (x) = 3

Divide both sides by

18

\frac{18 cos ( x )}{18} = \frac{3}{18}

Simplify

cos (x) = \frac{1}{6}

cos (x) = \frac{1}{6}

Apply trig inverse properties

cos (x) = \frac{1}{6}

General solutions for

cos (x) = \frac{1}{6}

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

x = arccos (\frac{1}{6}) + 2 πn, x = 2 π - arccos (\frac{1}{6}) + 2 πn

x = arccos (\frac{1}{6}) + 2 πn, x = 2 π - arccos (\frac{1}{6}) + 2 πn

Show solutions in decimal form

x = 1.40334 \dots + 2 πn, x = 2 π - 1.40334 \dots + 2 πn

x, 2 sin (\frac{π ( x - 2 )}{6}) = 1

(1 - sin (x)) (1 - sin (x)) = cos^{2} (x)

2 cos (x) = cos^{2} (x) - 1

2 sin (v) csc (v) - csc (v) = 4 sin (v) - 2

2 cos (2 x) = 4 cos (x)

What is the general solution for solvefor x,3=18cos(x) ?
The general solution for solvefor x,3=18cos(x) is x=1.40334…+2pin,x=2pi-1.40334…+2pin