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Simplifying sin(x + 0.3) + sin(x + -0.3) = 2cos(0.3) Reorder the terms: ins(0.3 + x) + sin(x + -0.3) = 2cos(0.3) (0.3 * ins + x * ins) + sin(x + -0.3) = 2cos(0.3) (0.3ins + insx) + sin(x + -0.3) = 2cos(0.3) Reorder the terms: 0.3ins + insx + ins(-0.3 + x) = 2cos(0.3) 0.3ins + insx + (-0.3 * ins + x * ins) = 2cos(0.3) 0.3ins + insx + (-0.3ins + insx) = 2cos(0.3) Reorder the terms: 0.3ins + -0.3ins + insx + insx = 2cos(0.3) Combine like terms: 0.3ins + -0.3ins = 0.0 0.0 + insx + insx = 2cos(0.3) insx + insx = 2cos(0.3) Combine like terms: insx + insx = 2insx 2insx = 2cos(0.3) Reorder the terms for easier multiplication: 2insx = 2 * 0.3cos Multiply 2 * 0.3 2insx = 0.6cos Solving 2insx = 0.6cos Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Divide each side by '2nsx'. i = 0.3cn-1ox-1 Simplifying i = 0.3cn-1ox-1
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