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Simplifying Sin(2x + 30) = cos(3x + 20) Reorder the terms: inS(30 + 2x) = cos(3x + 20) (30 * inS + 2x * inS) = cos(3x + 20) (30inS + 2inxS) = cos(3x + 20) Reorder the terms: 30inS + 2inxS = cos(20 + 3x) 30inS + 2inxS = (20 * cos + 3x * cos) 30inS + 2inxS = (20cos + 3cosx) Solving 30inS + 2inxS = 20cos + 3cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -20cos + -3cosx + 30inS + 2inxS = 20cos + 3cosx + -20cos + -3cosx Reorder the terms: -20cos + -3cosx + 30inS + 2inxS = 20cos + -20cos + 3cosx + -3cosx Combine like terms: 20cos + -20cos = 0 -20cos + -3cosx + 30inS + 2inxS = 0 + 3cosx + -3cosx -20cos + -3cosx + 30inS + 2inxS = 3cosx + -3cosx Combine like terms: 3cosx + -3cosx = 0 -20cos + -3cosx + 30inS + 2inxS = 0 The solution to this equation could not be determined.
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