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Simplifying sin(2y) = 2sin(y) * cos(y) Remove parenthesis around (2y) ins * 2y = 2sin(y) * cos(y) Reorder the terms for easier multiplication: 2ins * y = 2sin(y) * cos(y) Multiply ins * y 2insy = 2sin(y) * cos(y) Multiply ins * y 2insy = 2insy * cos * y Multiply insy * cos 2insy = 2cinos2y * y Multiply cinos2y * y 2insy = 2cinos2y2 Solving 2insy = 2cinos2y2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2cinos2y2' to each side of the equation. -2cinos2y2 + 2insy = 2cinos2y2 + -2cinos2y2 Combine like terms: 2cinos2y2 + -2cinos2y2 = 0 -2cinos2y2 + 2insy = 0 Factor out the Greatest Common Factor (GCF), '2insy'. 2insy(-1cosy + 1) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'insy' equal to zero and attempt to solve: Simplifying insy = 0 Solving insy = 0 Move all terms containing i to the left, all other terms to the right. Simplifying insy = 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 '(-1cosy + 1)' equal to zero and attempt to solve: Simplifying -1cosy + 1 = 0 Reorder the terms: 1 + -1cosy = 0 Solving 1 + -1cosy = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1cosy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1cosy = 0 + -1 -1cosy = 0 + -1 Combine like terms: 0 + -1 = -1 -1cosy = -1 Add 'cosy' to each side of the equation. -1cosy + cosy = -1 + cosy Combine like terms: -1cosy + cosy = 0 0 = -1 + cosy Simplifying 0 = -1 + cosy 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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