cos(90-x)=sinx

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Solution for cos(90-x)=sinx equation:


Simplifying
cos(90 + -1x) = sinx
(90 * cos + -1x * cos) = sinx
(90cos + -1cosx) = sinx

Solving
90cos + -1cosx = 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
90cos + -1cosx + -1insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(90co + -1cox + -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 '(90co + -1cox + -1inx)' equal to zero and attempt to solve: Simplifying 90co + -1cox + -1inx = 0 Solving 90co + -1cox + -1inx = 0 Move all terms containing c to the left, all other terms to the right. Add 'inx' to each side of the equation. 90co + -1cox + -1inx + inx = 0 + inx Combine like terms: -1inx + inx = 0 90co + -1cox + 0 = 0 + inx 90co + -1cox = 0 + inx Remove the zero: 90co + -1cox = 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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