cos(x-45)=-2sin(x)

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Solution for cos(x-45)=-2sin(x) equation: 


Simplifying
cos(x + -45) = -2sin(x)

Reorder the terms:
cos(-45 + x) = -2sin(x)
(-45 * cos + x * cos) = -2sin(x)
(-45cos + cosx) = -2sin(x)

Multiply ins * x
-45cos + cosx = -2insx

Solving
-45cos + cosx = -2insx

Solving for variable 'c'.

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

Combine like terms: -2insx + 2insx = 0
-45cos + cosx + 2insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-45co + cox + 2inx) = 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 + 2inx)' equal to zero and attempt to solve:

Simplifying
-45co + cox + 2inx = 0

Solving
-45co + cox + 2inx = 0

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

Add '-2inx' to each side of the equation.
-45co + cox + 2inx + -2inx = 0 + -2inx

Combine like terms: 2inx + -2inx = 0
-45co + cox + 0 = 0 + -2inx
-45co + cox = 0 + -2inx
Remove the zero:
-45co + cox = -2inx

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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