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Simplifying Sin(2x) = cos(3x + -40) Remove parenthesis around (2x) inS * 2x = cos(3x + -40) Reorder the terms for easier multiplication: 2inS * x = cos(3x + -40) Multiply inS * x 2inxS = cos(3x + -40) Reorder the terms: 2inxS = cos(-40 + 3x) 2inxS = (-40 * cos + 3x * cos) 2inxS = (-40cos + 3cosx) Solving 2inxS = -40cos + 3cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Divide each side by '2nxS'. i = -20cn-1osx-1S-1 + 1.5cn-1osS-1 Simplifying i = -20cn-1osx-1S-1 + 1.5cn-1osS-1 Reorder the terms: i = 1.5cn-1osS-1 + -20cn-1osx-1S-1
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