-4*sin(2*x)+4*cos(x)+1=0

Simple and best practice solution for -4*sin(2*x)+4*cos(x)+1=0 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 -4*sin(2*x)+4*cos(x)+1=0 equation:


Simplifying
-4sin(2x) + 4cos(x) + 1 = 0

Remove parenthesis around (2x)
-4ins * 2x + 4cos(x) + 1 = 0

Reorder the terms for easier multiplication:
-4 * 2ins * x + 4cos(x) + 1 = 0

Multiply -4 * 2
-8ins * x + 4cos(x) + 1 = 0

Multiply ins * x
-8insx + 4cos(x) + 1 = 0

Multiply cos * x
-8insx + 4cosx + 1 = 0

Reorder the terms:
1 + 4cosx + -8insx = 0

Solving
1 + 4cosx + -8insx = 0

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + 4cosx + -1 + -8insx = 0 + -1

Reorder the terms:
1 + -1 + 4cosx + -8insx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4cosx + -8insx = 0 + -1
4cosx + -8insx = 0 + -1

Combine like terms: 0 + -1 = -1
4cosx + -8insx = -1

Add '8insx' to each side of the equation.
4cosx + -8insx + 8insx = -1 + 8insx

Combine like terms: -8insx + 8insx = 0
4cosx + 0 = -1 + 8insx
4cosx = -1 + 8insx

Divide each side by '4osx'.
c = -0.25o-1s-1x-1 + 2ino-1

Simplifying
c = -0.25o-1s-1x-1 + 2ino-1

Reorder the terms:
c = 2ino-1 + -0.25o-1s-1x-1

See similar equations:

| 10+7d=52 | | 5+5a=20 | | -3-7k=-73 | | -5n+2=12 | | 8+5a=63 | | 4w-5=-1 | | 2b-8=-24 | | 11x/3(3-8)=3 | | -2n+1=-23 | | 6m-8=-26 | | -9-3x=-24 | | 6+2d=28 | | -4k+3=-21 | | 3+6a=51 | | 4k+9=53 | | 11(7x-11)+3=9x+10 | | -5m+10=55 | | -5t+9=-31 | | 4w-7=25 | | -4m+6=-42 | | -4-3b=-7 | | 4/x+1/x=x | | 6a^2x-abx-12b^2x=0 | | 4*sin(2*x)+4*cos(x)+1=0 | | 2x+15/4 | | -6-3d=-36 | | -4-3t=-7 | | 2t+5=17 | | 7t+6=27 | | 4k-2k=2+3 | | -16x^2+104x=0 | | 9-4n=-31 |

Equations solver categories