sin(x-90)=-cosx

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Solution for sin(x-90)=-cosx equation: 


Simplifying
sin(x + -90) = -1cosx

Reorder the terms:
ins(-90 + x) = -1cosx
(-90 * ins + x * ins) = -1cosx
(-90ins + insx) = -1cosx

Solving
-90ins + insx = -1cosx

Solving for variable 'i'.

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

Reorder the terms:
cosx + -90ins + insx = -1cosx + cosx

Combine like terms: -1cosx + cosx = 0
cosx + -90ins + insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(cox + -90in + inx) = 0


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

Simplifying
s = 0

Solving
s = 0

Move all terms containing i 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 '(cox + -90in + inx)' equal to zero and attempt to solve:

Simplifying
cox + -90in + inx = 0

Solving
cox + -90in + inx = 0

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

Add '-1cox' to each side of the equation.
cox + -90in + -1cox + inx = 0 + -1cox

Reorder the terms:
cox + -1cox + -90in + inx = 0 + -1cox

Combine like terms: cox + -1cox = 0
0 + -90in + inx = 0 + -1cox
-90in + inx = 0 + -1cox
Remove the zero:
-90in + inx = -1cox

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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