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Simplifying senx(1 + cotx) = senx + cosx (1 * ensx + cotx * ensx) = senx + cosx Reorder the terms: (cenostx2 + 1ensx) = senx + cosx (cenostx2 + 1ensx) = senx + cosx Reorder the terms: cenostx2 + 1ensx = cosx + ensx Solving cenostx2 + 1ensx = cosx + ensx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1cosx' to each side of the equation. cenostx2 + -1cosx + 1ensx = cosx + -1cosx + ensx Combine like terms: cosx + -1cosx = 0 cenostx2 + -1cosx + 1ensx = 0 + ensx cenostx2 + -1cosx + 1ensx = ensx Add '-1ensx' to each side of the equation. cenostx2 + -1cosx + 1ensx + -1ensx = ensx + -1ensx Combine like terms: 1ensx + -1ensx = 0 cenostx2 + -1cosx + 0 = ensx + -1ensx cenostx2 + -1cosx = ensx + -1ensx Combine like terms: ensx + -1ensx = 0 cenostx2 + -1cosx = 0 Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(entx + -1) = 0Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 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 '(entx + -1)' equal to zero and attempt to solve: Simplifying entx + -1 = 0 Reorder the terms: -1 + entx = 0 Solving -1 + entx = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + entx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + entx = 0 + 1 entx = 0 + 1 Combine like terms: 0 + 1 = 1 entx = 1 Add '-1entx' to each side of the equation. entx + -1entx = 1 + -1entx Combine like terms: entx + -1entx = 0 0 = 1 + -1entx Simplifying 0 = 1 + -1entx 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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