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Simplifying cos(x + y) + cos(x + -1y) = 0 (x * cos + y * cos) + cos(x + -1y) = 0 (cosx + cosy) + cos(x + -1y) = 0 cosx + cosy + (x * cos + -1y * cos) = 0 cosx + cosy + (cosx + -1cosy) = 0 Reorder the terms: cosx + cosx + cosy + -1cosy = 0 Combine like terms: cosx + cosx = 2cosx 2cosx + cosy + -1cosy = 0 Combine like terms: cosy + -1cosy = 0 2cosx + 0 = 0 2cosx = 0 Solving 2cosx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by '2'. cosx = 0 Simplifying cosx = 0 The solution to this equation could not be determined.
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