Question

cos2x-cos3x-cos4x+cos5x=....?​

Answer 1

Answer:

Simplifying cos(x) + cos(2x) + cos(3x) + cos(4x) + cos(5x) = 0 Multiply cos * x cosx + cos(2x) + cos(3x) + cos(4x) + cos(5x) = 0 Remove parenthesis around (2x) cosx + cos * 2x + cos(3x) + cos(4x) + cos(5x) = 0 Reorder the terms for easier multiplication: cosx + 2cos * x + cos(3x) + cos(4x) + cos(5x) = 0 Multiply cos * x cosx + 2cosx + cos(3x) + cos(4x) + cos(5x) = 0 Remove parenthesis around (3x) cosx + 2cosx + cos * 3x + cos(4x) + cos(5x) = 0 Reorder the terms for easier multiplication: cosx + 2cosx + 3cos * x + cos(4x) + cos(5x) = 0 Multiply cos * x cosx + 2cosx + 3cosx + cos(4x) + cos(5x) = 0 Remove parenthesis around (4x) cosx + 2cosx + 3cosx + cos * 4x + cos(5x) = 0 Reorder the terms for easier multiplication: cosx + 2cosx + 3cosx + 4cos * x + cos(5x) = 0 Multiply cos * x cosx + 2cosx + 3cosx + 4cosx + cos(5x) = 0 Remove parenthesis around (5x) cosx + 2cosx + 3cosx + 4cosx + cos * 5x = 0 Reorder the terms for easier multiplication: cosx + 2cosx + 3cosx + 4cosx + 5cos * x = 0 Multiply cos * x cosx + 2cosx + 3cosx + 4cosx + 5cosx = 0 Combine like terms: cosx + 2cosx = 3cosx 3cosx + 3cosx + 4cosx + 5cosx = 0 Combine like terms: 3cosx + 3cosx = 6cosx 6cosx + 4cosx + 5cosx = 0 Combine like terms: 6cosx + 4cosx = 10cosx 10cosx + 5cosx = 0 Combine like terms: 10cosx + 5cosx = 15cosx 15cosx = 0 Solving 15cosx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by '15'. cosx = 0 Simplifying cosx = 0 The solution to this equation could not be determined.