Sin^2(x+y)+cos^2(xy)=1

Simple and best practice solution for Sin^2(x+y)+cos^2(xy)=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 Sin^2(x+y)+cos^2(xy)=1 equation: 


Simplifying
Sin2(x + y) + cos2(xy) = 1
(x * in2S + y * in2S) + cos2(xy) = 1
(in2xS + in2yS) + cos2(xy) = 1

Multiply cos2 * xy
in2xS + in2yS + cos2xy = 1

Reorder the terms:
cos2xy + in2xS + in2yS = 1

Solving
cos2xy + in2xS + in2yS = 1

Solving for variable 'c'.

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

Add '-1in2xS' to each side of the equation.
cos2xy + in2xS + -1in2xS + in2yS = 1 + -1in2xS

Combine like terms: in2xS + -1in2xS = 0
cos2xy + 0 + in2yS = 1 + -1in2xS
cos2xy + in2yS = 1 + -1in2xS

Add '-1in2yS' to each side of the equation.
cos2xy + in2yS + -1in2yS = 1 + -1in2xS + -1in2yS

Combine like terms: in2yS + -1in2yS = 0
cos2xy + 0 = 1 + -1in2xS + -1in2yS
cos2xy = 1 + -1in2xS + -1in2yS

Divide each side by 'os2xy'.
c = o-1s-2x-1y-1 + -1in2o-1s-2y-1S + -1in2o-1s-2x-1S

Simplifying
c = o-1s-2x-1y-1 + -1in2o-1s-2y-1S + -1in2o-1s-2x-1S

Reorder the terms:
c = -1in2o-1s-2x-1S + -1in2o-1s-2y-1S + o-1s-2x-1y-1

See similar equations:

| 65=23 | | 8x^2+54x-45=0 | | -5t^2-17t+12=0 | | 8x=15.9+5.3x | | 4c+15*2=60 | | =(x+2)(x+6) | | Z^13/z^6 | | 3n+9=-3(2n-6) | | 18=(2x+54) | | 3n+9=3(2n-6) | | (50/2)=(100/x) | | .22(x+9)=0.2x+5.8 | | 30=6u-u | | 6/1-6i | | =(x+2)+(y+2)+(z+2)+1 | | =x+2+y+2+z+2 | | x^2-16+y^2+12y=0 | | 50+8x=120 | | -8(.3x+.5)-3.6=-.4 | | 3x+-5=10 | | -8(0.3x+0.5)-3.6=-0.4 | | 5x-17+132=180 | | 7+3x-6=x-2x+4 | | 3x+ax-9x+3x=0 | | 90=(4x+42) | | -8(0.3x+.5)-3.6=-.4 | | 8x^3-7x=0 | | 2.00+4.00(389-x)=1108.00 | | (3b-2)-3= | | m=3(2m-(-10)) | | 2x+30+5x=12.5 | | 3x+8x-4x=35+7 |

Equations solver categories