sin(1-2cos^2-cos^4)=sin^5

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Solution for sin(1-2cos^2-cos^4)=sin^5 equation:


Simplifying
sin(1 + -2cos2 + -1cos4) = sin5
(1 * ins + -2cos2 * ins + -1cos4 * ins) = sin5

Reorder the terms:
(-2cinos3 + -1cinos5 + 1ins) = sin5
(-2cinos3 + -1cinos5 + 1ins) = sin5

Solving
-2cinos3 + -1cinos5 + 1ins = in5s

Solving for variable 'c'.

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

Add '-1ins' to each side of the equation.
-2cinos3 + -1cinos5 + 1ins + -1ins = -1ins + in5s

Combine like terms: 1ins + -1ins = 0
-2cinos3 + -1cinos5 + 0 = -1ins + in5s
-2cinos3 + -1cinos5 = -1ins + in5s

Reorder the terms:
-2cinos3 + -1cinos5 + ins + -1in5s = -1ins + ins + in5s + -1in5s

Combine like terms: -1ins + ins = 0
-2cinos3 + -1cinos5 + ins + -1in5s = 0 + in5s + -1in5s
-2cinos3 + -1cinos5 + ins + -1in5s = in5s + -1in5s

Combine like terms: in5s + -1in5s = 0
-2cinos3 + -1cinos5 + ins + -1in5s = 0

Factor out the Greatest Common Factor (GCF), 'ins'.
ins(-2cos2 + -1cos4 + 1 + -1n4) = 0

Subproblem 1

Set the factor 'ins' equal to zero and attempt to solve: Simplifying ins = 0 Solving ins = 0 Move all terms containing c to the left, all other terms to the right. Add '-1ins' to each side of the equation. ins + -1ins = 0 + -1ins Remove the zero: 0 = -1ins Simplifying 0 = -1ins 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 '(-2cos2 + -1cos4 + 1 + -1n4)' equal to zero and attempt to solve: Simplifying -2cos2 + -1cos4 + 1 + -1n4 = 0 Reorder the terms: 1 + -2cos2 + -1cos4 + -1n4 = 0 Solving 1 + -2cos2 + -1cos4 + -1n4 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2cos2 + -1cos4 + -1 + -1n4 = 0 + -1 Reorder the terms: 1 + -1 + -2cos2 + -1cos4 + -1n4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2cos2 + -1cos4 + -1n4 = 0 + -1 -2cos2 + -1cos4 + -1n4 = 0 + -1 Combine like terms: 0 + -1 = -1 -2cos2 + -1cos4 + -1n4 = -1 Add 'n4' to each side of the equation. -2cos2 + -1cos4 + -1n4 + n4 = -1 + n4 Combine like terms: -1n4 + n4 = 0 -2cos2 + -1cos4 + 0 = -1 + n4 -2cos2 + -1cos4 = -1 + n4 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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