Cos(30+x)=senx

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Solution for Cos(30+x)=senx equation:


Simplifying
Cos(30 + x) = senx
(30 * osC + x * osC) = senx
(30osC + osxC) = senx

Solving
30osC + osxC = ensx

Solving for variable 'o'.

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

Reorder the terms:
-1ensx + 30osC + osxC = ensx + -1ensx

Combine like terms: ensx + -1ensx = 0
-1ensx + 30osC + osxC = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-1enx + 30oC + 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 '(-1enx + 30oC + oxC)' equal to zero and attempt to solve: Simplifying -1enx + 30oC + oxC = 0 Solving -1enx + 30oC + oxC = 0 Move all terms containing o to the left, all other terms to the right. Add 'enx' to each side of the equation. -1enx + 30oC + enx + oxC = 0 + enx Reorder the terms: -1enx + enx + 30oC + oxC = 0 + enx Combine like terms: -1enx + enx = 0 0 + 30oC + oxC = 0 + enx 30oC + oxC = 0 + enx Remove the zero: 30oC + oxC = enx 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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