2cos(2x)*cos(x)-2sin(2x)*sin(x)=1

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


Simplifying
2cos(2x) * cos(x) + -2sin(2x) * sin(x) = 1

Remove parenthesis around (2x)
2cos * 2x * cos(x) + -2sin(2x) * sin(x) = 1

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

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

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

Multiply cosx * cos
4c2o2s2x * x + -2sin(2x) * sin(x) = 1

Multiply c2o2s2x * x
4c2o2s2x2 + -2sin(2x) * sin(x) = 1

Remove parenthesis around (2x)
4c2o2s2x2 + -2ins * 2x * sin(x) = 1

Reorder the terms for easier multiplication:
4c2o2s2x2 + -2 * 2ins * x * ins * x = 1

Multiply -2 * 2
4c2o2s2x2 + -4ins * x * ins * x = 1

Multiply ins * x
4c2o2s2x2 + -4insx * ins * x = 1

Multiply insx * ins
4c2o2s2x2 + -4i2n2s2x * x = 1

Multiply i2n2s2x * x
4c2o2s2x2 + -4i2n2s2x2 = 1

Solving
4c2o2s2x2 + -4i2n2s2x2 = 1

Solving for variable 'c'.

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

Add '4i2n2s2x2' to each side of the equation.
4c2o2s2x2 + -4i2n2s2x2 + 4i2n2s2x2 = 1 + 4i2n2s2x2

Combine like terms: -4i2n2s2x2 + 4i2n2s2x2 = 0
4c2o2s2x2 + 0 = 1 + 4i2n2s2x2
4c2o2s2x2 = 1 + 4i2n2s2x2

Divide each side by '4o2s2x2'.
c2 = 0.25o-2s-2x-2 + i2n2o-2

Simplifying
c2 = 0.25o-2s-2x-2 + i2n2o-2

Reorder the terms:
c2 = i2n2o-2 + 0.25o-2s-2x-2

Reorder the terms:
c2 + -1i2n2o-2 + -0.25o-2s-2x-2 = i2n2o-2 + -1i2n2o-2 + 0.25o-2s-2x-2 + -0.25o-2s-2x-2

Combine like terms: i2n2o-2 + -1i2n2o-2 = 0
c2 + -1i2n2o-2 + -0.25o-2s-2x-2 = 0 + 0.25o-2s-2x-2 + -0.25o-2s-2x-2
c2 + -1i2n2o-2 + -0.25o-2s-2x-2 = 0.25o-2s-2x-2 + -0.25o-2s-2x-2

Combine like terms: 0.25o-2s-2x-2 + -0.25o-2s-2x-2 = 0.00
c2 + -1i2n2o-2 + -0.25o-2s-2x-2 = 0.00

The solution to this equation could not be determined.

See similar equations:

| 116+3n=500 | | 3+9y-19y= | | (4x+4)/3(15)= | | 16-s=4 | | 6y^2-12=0 | | 9x^2-38x+8= | | (67+62+x)/3=65 | | 4(-8r-2)-3r= | | 7x^2-4x-20=0 | | -6=2(r+-2) | | 66=(2)5+x+(2)x | | 3(c+7)-4c=24+2c | | 3(j+2)=18 | | .6x+15=-1.4+12 | | (9x-6)+(10x+10)= | | (0.03)= | | 3x+5=-11-5x | | 11+(-22)+(-33)= | | 2(t-16)=6 | | 12(2k+11)=10(2k+12) | | 3-k=-10 | | (67+62+x)/3=70 | | (10x-8)+(6x+10)= | | 6y-2x=-6solvey | | 14x-62=-1*12x | | 16x+5y=-40 | | -(p+15)+16=3 | | 5y-25=-37+2y | | -9.97=12.47 | | 6y-2x=-6findy | | -4x^3+9x^2-2=0 | | 4(t-16)=8 |

Equations solver categories