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Simplifying cos(x) = cos(2x) + -1sin(2x) Multiply cos * x cosx = cos(2x) + -1sin(2x) Remove parenthesis around (2x) cosx = cos * 2x + -1sin(2x) Reorder the terms for easier multiplication: cosx = 2cos * x + -1sin(2x) Multiply cos * x cosx = 2cosx + -1sin(2x) Remove parenthesis around (2x) cosx = 2cosx + -1ins * 2x Reorder the terms for easier multiplication: cosx = 2cosx + -1 * 2ins * x Multiply -1 * 2 cosx = 2cosx + -2ins * x Multiply ins * x cosx = 2cosx + -2insx Solving cosx = 2cosx + -2insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2cosx' to each side of the equation. cosx + -2cosx = 2cosx + -2cosx + -2insx Combine like terms: cosx + -2cosx = -1cosx -1cosx = 2cosx + -2cosx + -2insx Combine like terms: 2cosx + -2cosx = 0 -1cosx = 0 + -2insx -1cosx = -2insx Divide each side by '-1osx'. c = 2ino-1 Simplifying c = 2ino-1
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