Cos(x-45)=-sinx

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Solution for Cos(x-45)=-sinx equation: 


Simplifying
Cos(x + -45) = -1sinx

Reorder the terms:
osC(-45 + x) = -1sinx
(-45 * osC + x * osC) = -1sinx
(-45osC + osxC) = -1sinx

Solving
-45osC + osxC = -1insx

Solving for variable 'o'.

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

Reorder the terms:
insx + -45osC + osxC = -1insx + insx

Combine like terms: -1insx + insx = 0
insx + -45osC + osxC = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(inx + -45oC + oxC) = 0


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

Simplifying
s = 0

Solving
s = 0

Move all terms containing o 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 '(inx + -45oC + oxC)' equal to zero and attempt to solve:

Simplifying
inx + -45oC + oxC = 0

Solving
inx + -45oC + oxC = 0

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

Add '-1inx' to each side of the equation.
inx + -45oC + -1inx + oxC = 0 + -1inx

Reorder the terms:
inx + -1inx + -45oC + oxC = 0 + -1inx

Combine like terms: inx + -1inx = 0
0 + -45oC + oxC = 0 + -1inx
-45oC + oxC = 0 + -1inx
Remove the zero:
-45oC + oxC = -1inx

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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