Cos(90+x)=cosx

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Solution for Cos(90+x)=cosx equation:


Simplifying
Cos(90 + x) = cosx
(90 * osC + x * osC) = cosx
(90osC + osxC) = cosx

Solving
90osC + osxC = cosx

Solving for variable 'o'.

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

Add '-1cosx' to each side of the equation.
90osC + -1cosx + osxC = cosx + -1cosx

Reorder the terms:
-1cosx + 90osC + osxC = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-1cosx + 90osC + osxC = 0

Factor out the Greatest Common Factor (GCF), 'os'.
os(-1cx + 90C + xC) = 0

Subproblem 1

Set the factor 'os' equal to zero and attempt to solve: Simplifying os = 0 Solving os = 0 Move all terms containing o to the left, all other terms to the right. Simplifying os = 0 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 '(-1cx + 90C + xC)' equal to zero and attempt to solve: Simplifying -1cx + 90C + xC = 0 Reorder the terms: 90C + -1cx + xC = 0 Solving 90C + -1cx + xC = 0 Move all terms containing o to the left, all other terms to the right. Add '-90C' to each side of the equation. 90C + -1cx + -90C + xC = 0 + -90C Reorder the terms: 90C + -90C + -1cx + xC = 0 + -90C Combine like terms: 90C + -90C = 0 0 + -1cx + xC = 0 + -90C -1cx + xC = 0 + -90C Remove the zero: -1cx + xC = -90C Add 'cx' to each side of the equation. -1cx + cx + xC = -90C + cx Combine like terms: -1cx + cx = 0 0 + xC = -90C + cx xC = -90C + cx Add '-1xC' to each side of the equation. xC + -1xC = -90C + cx + -1xC Combine like terms: xC + -1xC = 0 0 = -90C + cx + -1xC Simplifying 0 = -90C + cx + -1xC 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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