cos(x)+cos(2x)+cos(3x)=1

Simple and best practice solution for cos(x)+cos(2x)+cos(3x)=1 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for cos(x)+cos(2x)+cos(3x)=1 equation:


Simplifying
cos(x) + cos(2x) + cos(3x) = 1

Multiply cos * x
cosx + cos(2x) + cos(3x) = 1

Remove parenthesis around (2x)
cosx + cos * 2x + cos(3x) = 1

Reorder the terms for easier multiplication:
cosx + 2cos * x + cos(3x) = 1

Multiply cos * x
cosx + 2cosx + cos(3x) = 1

Remove parenthesis around (3x)
cosx + 2cosx + cos * 3x = 1

Reorder the terms for easier multiplication:
cosx + 2cosx + 3cos * x = 1

Multiply cos * x
cosx + 2cosx + 3cosx = 1

Combine like terms: cosx + 2cosx = 3cosx
3cosx + 3cosx = 1

Combine like terms: 3cosx + 3cosx = 6cosx
6cosx = 1

Solving
6cosx = 1

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Divide each side by '6osx'.
c = 0.1666666667o-1s-1x-1

Simplifying
c = 0.1666666667o-1s-1x-1

See similar equations:

| x=17-4x-8 | | 9(n+1)+7(n+8)= | | 7*x+x^2-208=0 | | -46-3n=4+7n | | 2145=952.50+0.5x | | P=Cekt | | 5-6y+9y=-5+51 | | 10037-1924-(-10012)+(-63)= | | 0.08xy=0.6 | | -5-8v=2v+76 | | (x-7)-24=0 | | x+2*x^2-416=0 | | x^3-x^2-11x+1=0 | | 2(x-1)-(2x+7)=x+3(1-3x) | | 4z+12=9z-34 | | 10037-1924+10012-63= | | 7n-8=4n+3 | | 1+6v+1= | | 4x+98=13x-10 | | 10u+2(7u-2)=5(4u+3)+3u | | 1-8c=4c-32 | | 7a+9a+6b-2b= | | 7u+9u+1+3u= | | 5-6y+9y=-5+5 | | 7w+8=6w+2 | | 0-8-19+45-18= | | sin(6x)*cos(6x)= | | -8-19+45-18= | | -2(2u-9)+7u=7(u+4) | | 3x-(4-2x)=c+8 | | (2x+3y)(2x+2y)= | | 4y+4=9y-12 |

Equations solver categories