SEN(X+Y)=COS(X-Y)

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Solution for SEN(X+Y)=COS(X-Y) equation: 


Simplifying
SEN(X + Y) = COS(X + -1Y)
(X * ENS + Y * ENS) = COS(X + -1Y)
(ENSX + ENSY) = COS(X + -1Y)
ENSX + ENSY = (X * COS + -1Y * COS)
ENSX + ENSY = (COSX + -1COSY)

Solving
ENSX + ENSY = COSX + -1COSY

Solving for variable 'E'.

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

Reorder the terms:
-1COSX + COSY + ENSX + ENSY = COSX + -1COSY + -1COSX + COSY

Reorder the terms:
-1COSX + COSY + ENSX + ENSY = COSX + -1COSX + -1COSY + COSY

Combine like terms: COSX + -1COSX = 0
-1COSX + COSY + ENSX + ENSY = 0 + -1COSY + COSY
-1COSX + COSY + ENSX + ENSY = -1COSY + COSY

Combine like terms: -1COSY + COSY = 0
-1COSX + COSY + ENSX + ENSY = 0

Factor out the Greatest Common Factor (GCF), 'S'.
S(-1COX + COY + ENX + ENY) = 0


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

Simplifying
S = 0

Solving
S = 0

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

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

Simplifying
0 = -1S

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 '(-1COX + COY + ENX + ENY)' equal to zero and attempt to solve:

Simplifying
-1COX + COY + ENX + ENY = 0

Solving
-1COX + COY + ENX + ENY = 0

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

Add 'COX' to each side of the equation.
-1COX + COY + ENX + COX + ENY = 0 + COX

Reorder the terms:
-1COX + COX + COY + ENX + ENY = 0 + COX

Combine like terms: -1COX + COX = 0
0 + COY + ENX + ENY = 0 + COX
COY + ENX + ENY = 0 + COX
Remove the zero:
COY + ENX + ENY = COX

Add '-1COY' to each side of the equation.
COY + ENX + -1COY + ENY = COX + -1COY

Reorder the terms:
COY + -1COY + ENX + ENY = COX + -1COY

Combine like terms: COY + -1COY = 0
0 + ENX + ENY = COX + -1COY
ENX + ENY = COX + -1COY

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.

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