cos^4(x)-sin^4(x)=cos(2x)

Simple and best practice solution for cos^4(x)-sin^4(x)=cos(2x) 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^4(x)-sin^4(x)=cos(2x) equation: 


Simplifying
cos4(x) + -1sin4(x) = cos(2x)

Multiply cos4 * x
cos4x + -1sin4(x) = cos(2x)

Multiply in4s * x
cos4x + -1in4sx = cos(2x)

Remove parenthesis around (2x)
cos4x + -1in4sx = cos * 2x

Reorder the terms for easier multiplication:
cos4x + -1in4sx = 2cos * x

Multiply cos * x
cos4x + -1in4sx = 2cosx

Solving
cos4x + -1in4sx = 2cosx

Solving for variable 'c'.

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

Add '-2cosx' to each side of the equation.
cos4x + -2cosx + -1in4sx = 2cosx + -2cosx

Reorder the terms:
-2cosx + cos4x + -1in4sx = 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
-2cosx + cos4x + -1in4sx = 0

Add 'in4sx' to each side of the equation.
-2cosx + cos4x + -1in4sx + in4sx = 0 + in4sx

Combine like terms: -1in4sx + in4sx = 0
-2cosx + cos4x + 0 = 0 + in4sx
-2cosx + cos4x = 0 + in4sx
Remove the zero:
-2cosx + cos4x = in4sx

Combine like terms: in4sx + -1in4sx = 0
-2cosx + cos4x + -1in4sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(-2co + cos3 + -1in4) = 0


Subproblem 1
Set the factor 'sx' equal to zero and attempt to solve:

Simplifying
sx = 0

Solving
sx = 0

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

Add '-1sx' to each side of the equation.
sx + -1sx = 0 + -1sx
Remove the zero:
0 = -1sx

Simplifying
0 = -1sx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-2co + cos3 + -1in4)' equal to zero and attempt to solve:

Simplifying
-2co + cos3 + -1in4 = 0

Solving
-2co + cos3 + -1in4 = 0

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

Add 'in4' to each side of the equation.
-2co + cos3 + -1in4 + in4 = 0 + in4

Combine like terms: -1in4 + in4 = 0
-2co + cos3 + 0 = 0 + in4
-2co + cos3 = 0 + in4
Remove the zero:
-2co + cos3 = in4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 2x+1x+4=4x+1 | | 7x+6=3x+26 | | 5(x+3)-25=5(2-x) | | 9x-8+8x+1=180 | | x^2+12x+y-31=0 | | 4(x-6)=-2(4x+3) | | -1.4z/5-3.4=2.4(0.8z-3) | | x=-y-5 | | j(x)=4ln(x+5) | | 1.4z/5-3.4=2.4(0.8z-3) | | 5x-5x+5=5 | | 3xy-3x=2y | | -5+3(1+7k)=29 | | (36)x-2=(216)3x | | 32=4(6v-9) | | 5z^2+12=-6z | | 5(4c+6)=-20+8c | | 5n+50= | | cos^4x-sin^4x=cos(2x) | | 3x+6+90+x=180 | | 2(-3x-9)=2(-6x-3) | | -2(6-5z)=28 | | (x^2-8x+16)+y^2+12y+36=25 | | 7.25x=4 | | -15x-9=21 | | 3(y+6)-4y=19 | | 3(4x-7)=9 | | 6x-3x+5= | | -2(y+4)-6=2 | | 9(5x+6)=9(7x+5) | | 19+9d=-2(8d-6) | | -2(y+4)-6=20 |

Equations solver categories