cos(x+45)=sinx

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Solution for cos(x+45)=sinx equation: 


Simplifying
cos(x + 45) = sinx

Reorder the terms:
cos(45 + x) = sinx
(45 * cos + x * cos) = sinx
(45cos + cosx) = sinx

Solving
45cos + cosx = insx

Solving for variable 'c'.

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

Combine like terms: insx + -1insx = 0
45cos + cosx + -1insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(45co + cox + -1inx) = 0


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

Simplifying
s = 0

Solving
s = 0

Move all terms containing c 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 '(45co + cox + -1inx)' equal to zero and attempt to solve:

Simplifying
45co + cox + -1inx = 0

Solving
45co + cox + -1inx = 0

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

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

Combine like terms: -1inx + inx = 0
45co + cox + 0 = 0 + inx
45co + cox = 0 + inx
Remove the zero:
45co + cox = inx

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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