sina=cos(90-a)

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Solution for sina=cos(90-a) equation:


Simplifying
sina = cos(90 + -1a)
ains = (90 * cos + -1a * cos)

Reorder the terms:
ains = (-1acos + 90cos)
ains = (-1acos + 90cos)

Solving
ains = -1acos + 90cos

Solving for variable 'a'.

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

Add 'acos' to each side of the equation.
acos + ains = -1acos + acos + 90cos

Combine like terms: -1acos + acos = 0
acos + ains = 0 + 90cos
acos + ains = 90cos

Combine like terms: 90cos + -90cos = 0
acos + ains + -90cos = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(aco + ain + -90co) = 0

Subproblem 1

Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing a 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 '(aco + ain + -90co)' equal to zero and attempt to solve: Simplifying aco + ain + -90co = 0 Solving aco + ain + -90co = 0 Move all terms containing a to the left, all other terms to the right. Add '90co' to each side of the equation. aco + ain + -90co + 90co = 0 + 90co Combine like terms: -90co + 90co = 0 aco + ain + 0 = 0 + 90co aco + ain = 0 + 90co Remove the zero: aco + ain = 90co 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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