Cos(x+90)=-sinx

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Solution for Cos(x+90)=-sinx equation:


Simplifying
Cos(x + 90) = -1sinx

Reorder the terms:
osC(90 + x) = -1sinx
(90 * osC + x * osC) = -1sinx
(90osC + osxC) = -1sinx

Solving
90osC + osxC = -1insx

Solving for variable 'o'.

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

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

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

Factor out the Greatest Common Factor (GCF), 's'.
s(inx + 90oC + oxC) = 0

Subproblem 1

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