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Simplifying cos(x + 45) + cos(x + -45) = 2 Reorder the terms: cos(45 + x) + cos(x + -45) = 2 (45 * cos + x * cos) + cos(x + -45) = 2 (45cos + cosx) + cos(x + -45) = 2 Reorder the terms: 45cos + cosx + cos(-45 + x) = 2 45cos + cosx + (-45 * cos + x * cos) = 2 45cos + cosx + (-45cos + cosx) = 2 Reorder the terms: 45cos + -45cos + cosx + cosx = 2 Combine like terms: 45cos + -45cos = 0 0 + cosx + cosx = 2 cosx + cosx = 2 Combine like terms: cosx + cosx = 2cosx 2cosx = 2 Solving 2cosx = 2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by '2osx'. c = o-1s-1x-1 Simplifying c = o-1s-1x-1
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