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Simplifying 3sinx + 2cosx = 13cos(x + -56.3) Reorder the terms: 2cosx + 3insx = 13cos(x + -56.3) Reorder the terms: 2cosx + 3insx = 13cos(-56.3 + x) 2cosx + 3insx = (-56.3 * 13cos + x * 13cos) 2cosx + 3insx = (-731.9cos + 13cosx) Solving 2cosx + 3insx = -731.9cos + 13cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '731.9cos' to each side of the equation. 2cosx + 731.9cos + 3insx = -731.9cos + 731.9cos + 13cosx Reorder the terms: 731.9cos + 2cosx + 3insx = -731.9cos + 731.9cos + 13cosx Combine like terms: -731.9cos + 731.9cos = 0.0 731.9cos + 2cosx + 3insx = 0.0 + 13cosx 731.9cos + 2cosx + 3insx = 13cosx Add '-13cosx' to each side of the equation. 731.9cos + 2cosx + -13cosx + 3insx = 13cosx + -13cosx Combine like terms: 2cosx + -13cosx = -11cosx 731.9cos + -11cosx + 3insx = 13cosx + -13cosx Combine like terms: 13cosx + -13cosx = 0 731.9cos + -11cosx + 3insx = 0 Add '-3insx' to each side of the equation. 731.9cos + -11cosx + 3insx + -3insx = 0 + -3insx Combine like terms: 3insx + -3insx = 0 731.9cos + -11cosx + 0 = 0 + -3insx 731.9cos + -11cosx = 0 + -3insx Remove the zero: 731.9cos + -11cosx = -3insx Combine like terms: -3insx + 3insx = 0 731.9cos + -11cosx + 3insx = 0 The solution to this equation could not be determined.
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