Sin(cosx)=cos(sinx)

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Solution for Sin(cosx)=cos(sinx) equation:


Simplifying
Sin(cosx) = cos(sinx)

Multiply inS * cosx
cinosxS = cos(sinx)

Multiply cos * insx
cinosxS = cinos2x

Solving
cinosxS = cinos2x

Solving for variable 'c'.

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

Add '-1cinos2x' to each side of the equation.
cinosxS + -1cinos2x = cinos2x + -1cinos2x

Combine like terms: cinos2x + -1cinos2x = 0
cinosxS + -1cinos2x = 0

Factor out the Greatest Common Factor (GCF), 'cinosx'.
cinosx(S + -1s) = 0

Subproblem 1

Set the factor 'cinosx' equal to zero and attempt to solve: Simplifying cinosx = 0 Solving cinosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cinosx = 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 '(S + -1s)' equal to zero and attempt to solve: Simplifying S + -1s = 0 Solving S + -1s = 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 + -1s = 0 + -1S Combine like terms: S + -1S = 0 0 + -1s = 0 + -1S -1s = 0 + -1S Remove the zero: -1s = -1S Add 's' to each side of the equation. -1s + s = -1S + s Combine like terms: -1s + s = 0 0 = -1S + s Simplifying 0 = -1S + s 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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