Cos(45-X)+cos(45+X)=

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Solution for Cos(45-X)+cos(45+X)= equation: 


Simplifying
Cos(45 + -1X) + cos(45 + X) = 0
(45 * osC + -1X * osC) + cos(45 + X) = 0
(45osC + -1osCX) + cos(45 + X) = 0
45osC + -1osCX + (45 * cos + X * cos) = 0
45osC + -1osCX + (45cos + cosX) = 0

Reorder the terms:
45cos + cosX + 45osC + -1osCX = 0

Solving
45cos + cosX + 45osC + -1osCX = 0

Solving for variable 'c'.

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

Add '-45osC' to each side of the equation.
45cos + cosX + 45osC + -45osC + -1osCX = 0 + -45osC

Combine like terms: 45osC + -45osC = 0
45cos + cosX + 0 + -1osCX = 0 + -45osC
45cos + cosX + -1osCX = 0 + -45osC
Remove the zero:
45cos + cosX + -1osCX = -45osC

Add 'osCX' to each side of the equation.
45cos + cosX + -1osCX + osCX = -45osC + osCX

Combine like terms: -1osCX + osCX = 0
45cos + cosX + 0 = -45osC + osCX
45cos + cosX = -45osC + osCX

Reorder the terms:
45cos + cosX + 45osC + -1osCX = -45osC + 45osC + osCX + -1osCX

Combine like terms: -45osC + 45osC = 0
45cos + cosX + 45osC + -1osCX = 0 + osCX + -1osCX
45cos + cosX + 45osC + -1osCX = osCX + -1osCX

Combine like terms: osCX + -1osCX = 0
45cos + cosX + 45osC + -1osCX = 0

Factor out the Greatest Common Factor (GCF), 'os'.
os(45c + cX + 45C + -1CX) = 0


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

Simplifying
os = 0

Solving
os = 0

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

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

Simplifying
0 = -1os

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 '(45c + cX + 45C + -1CX)' equal to zero and attempt to solve:

Simplifying
45c + cX + 45C + -1CX = 0

Reorder the terms:
45C + -1CX + 45c + cX = 0

Solving
45C + -1CX + 45c + cX = 0

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

Add '-45C' to each side of the equation.
45C + -1CX + 45c + -45C + cX = 0 + -45C

Reorder the terms:
45C + -45C + -1CX + 45c + cX = 0 + -45C

Combine like terms: 45C + -45C = 0
0 + -1CX + 45c + cX = 0 + -45C
-1CX + 45c + cX = 0 + -45C
Remove the zero:
-1CX + 45c + cX = -45C

Add 'CX' to each side of the equation.
-1CX + 45c + CX + cX = -45C + CX

Reorder the terms:
-1CX + CX + 45c + cX = -45C + CX

Combine like terms: -1CX + CX = 0
0 + 45c + cX = -45C + CX
45c + cX = -45C + CX

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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