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Simplifying Sin(7x + 8) + cos(11x + 7) = 0 Reorder the terms: inS(8 + 7x) + cos(11x + 7) = 0 (8 * inS + 7x * inS) + cos(11x + 7) = 0 (8inS + 7inxS) + cos(11x + 7) = 0 Reorder the terms: 8inS + 7inxS + cos(7 + 11x) = 0 8inS + 7inxS + (7 * cos + 11x * cos) = 0 8inS + 7inxS + (7cos + 11cosx) = 0 Reorder the terms: 7cos + 11cosx + 8inS + 7inxS = 0 Solving 7cos + 11cosx + 8inS + 7inxS = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8inS' to each side of the equation. 7cos + 11cosx + 8inS + -8inS + 7inxS = 0 + -8inS Combine like terms: 8inS + -8inS = 0 7cos + 11cosx + 0 + 7inxS = 0 + -8inS 7cos + 11cosx + 7inxS = 0 + -8inS Remove the zero: 7cos + 11cosx + 7inxS = -8inS Add '-7inxS' to each side of the equation. 7cos + 11cosx + 7inxS + -7inxS = -8inS + -7inxS Combine like terms: 7inxS + -7inxS = 0 7cos + 11cosx + 0 = -8inS + -7inxS 7cos + 11cosx = -8inS + -7inxS Reorder the terms: 7cos + 11cosx + 8inS + 7inxS = -8inS + 8inS + -7inxS + 7inxS Combine like terms: -8inS + 8inS = 0 7cos + 11cosx + 8inS + 7inxS = 0 + -7inxS + 7inxS 7cos + 11cosx + 8inS + 7inxS = -7inxS + 7inxS Combine like terms: -7inxS + 7inxS = 0 7cos + 11cosx + 8inS + 7inxS = 0 The solution to this equation could not be determined.
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