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Simplifying cos(18t) + cos(20t) = cos(38t) Remove parenthesis around (18t) cos * 18t + cos(20t) = cos(38t) Reorder the terms for easier multiplication: 18cos * t + cos(20t) = cos(38t) Multiply cos * t 18cost + cos(20t) = cos(38t) Remove parenthesis around (20t) 18cost + cos * 20t = cos(38t) Reorder the terms for easier multiplication: 18cost + 20cos * t = cos(38t) Multiply cos * t 18cost + 20cost = cos(38t) Combine like terms: 18cost + 20cost = 38cost 38cost = cos(38t) Remove parenthesis around (38t) 38cost = cos * 38t Reorder the terms for easier multiplication: 38cost = 38cos * t Multiply cos * t 38cost = 38cost Add '-38cost' to each side of the equation. 38cost + -38cost = 38cost + -38cost Combine like terms: 38cost + -38cost = 0 0 = 38cost + -38cost Combine like terms: 38cost + -38cost = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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