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Simplifying Sin(x + -30) + Cos(x + 45) = 0 Reorder the terms: inS(-30 + x) + Cos(x + 45) = 0 (-30 * inS + x * inS) + Cos(x + 45) = 0 (-30inS + inxS) + Cos(x + 45) = 0 Reorder the terms: -30inS + inxS + osC(45 + x) = 0 -30inS + inxS + (45 * osC + x * osC) = 0 -30inS + inxS + (45osC + osxC) = 0 Solving -30inS + inxS + 45osC + osxC = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-45osC' to each side of the equation. -30inS + inxS + 45osC + -45osC + osxC = 0 + -45osC Combine like terms: 45osC + -45osC = 0 -30inS + inxS + 0 + osxC = 0 + -45osC -30inS + inxS + osxC = 0 + -45osC Remove the zero: -30inS + inxS + osxC = -45osC Add '-1osxC' to each side of the equation. -30inS + inxS + osxC + -1osxC = -45osC + -1osxC Combine like terms: osxC + -1osxC = 0 -30inS + inxS + 0 = -45osC + -1osxC -30inS + inxS = -45osC + -1osxC Reorder the terms: -30inS + inxS + 45osC + osxC = -45osC + 45osC + -1osxC + osxC Combine like terms: -45osC + 45osC = 0 -30inS + inxS + 45osC + osxC = 0 + -1osxC + osxC -30inS + inxS + 45osC + osxC = -1osxC + osxC Combine like terms: -1osxC + osxC = 0 -30inS + inxS + 45osC + osxC = 0 The solution to this equation could not be determined.
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