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Simplifying 1 + 3sinx = -2cosx Solving 1 + 3insx = -2cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3insx = -1 + -2cosx Combine like terms: 1 + -1 = 0 0 + 3insx = -1 + -2cosx 3insx = -1 + -2cosx Divide each side by '3nsx'. i = -0.3333333333n-1s-1x-1 + -0.6666666667cn-1o Simplifying i = -0.3333333333n-1s-1x-1 + -0.6666666667cn-1o Reorder the terms: i = -0.6666666667cn-1o + -0.3333333333n-1s-1x-1
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