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

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


Simplifying
sin2x + -1sin4x = cos2x + -1cos4x

Solving
in2sx + -1in4sx = cos2x + -1cos4x

Solving for variable 'i'.

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

Reorder the terms:
-1cos2x + cos4x + in2sx + -1in4sx = cos2x + -1cos4x + -1cos2x + cos4x

Reorder the terms:
-1cos2x + cos4x + in2sx + -1in4sx = cos2x + -1cos2x + -1cos4x + cos4x

Combine like terms: cos2x + -1cos2x = 0
-1cos2x + cos4x + in2sx + -1in4sx = 0 + -1cos4x + cos4x
-1cos2x + cos4x + in2sx + -1in4sx = -1cos4x + cos4x

Combine like terms: -1cos4x + cos4x = 0
-1cos2x + cos4x + in2sx + -1in4sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(-1cos + cos3 + in2 + -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 i 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 '(-1cos + cos3 + in2 + -1in4)' equal to zero and attempt to solve:

Simplifying
-1cos + cos3 + in2 + -1in4 = 0

Solving
-1cos + cos3 + in2 + -1in4 = 0

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

Add 'cos' to each side of the equation.
-1cos + cos3 + in2 + cos + -1in4 = 0 + cos

Reorder the terms:
-1cos + cos + cos3 + in2 + -1in4 = 0 + cos

Combine like terms: -1cos + cos = 0
0 + cos3 + in2 + -1in4 = 0 + cos
cos3 + in2 + -1in4 = 0 + cos
Remove the zero:
cos3 + in2 + -1in4 = cos

Add '-1cos3' to each side of the equation.
cos3 + in2 + -1cos3 + -1in4 = cos + -1cos3

Reorder the terms:
cos3 + -1cos3 + in2 + -1in4 = cos + -1cos3

Combine like terms: cos3 + -1cos3 = 0
0 + in2 + -1in4 = cos + -1cos3
in2 + -1in4 = cos + -1cos3

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:

| 4x-26=13x-55 | | 4x+2(-5x+3)=36 | | x=1/3x-4 | | 4x+6+4x=24 | | -5(x+6)+3(x+4)=20 | | [4-(4-3(2-7)+6)]+2= | | 8t+16=16 | | 4m+18=9m+3 | | 20l*8=52 | | 8w+15=79 | | 3p+(1-p)(2)=2p+(1-p)(4) | | 16k^2-4=x^2 | | 6n+5=71 | | 5x-8y=50 | | 25x-65=87 | | 0.15(n+9)=24 | | 20l+8=5 | | 3x^2-10x+45=0 | | 16k^2-4=x | | log(x)+log(x+4)=log(12) | | 3a+8-7a+10=38 | | F(x)=1/3x-4 | | 5m+23=38 | | 9b-12=69 | | -x+4(x-5)=-2(-2-x)+5 | | 2h-9/3=3 | | 8a-9=87 | | X*20=57 | | 15+5m=45 | | x^2-2x=26 | | 25x+45=-65 | | x+2=x*3 |

Equations solver categories