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Simplifying 50(2sinx + 3cosx) = x Reorder the terms: 50(3cosx + 2insx) = x (3cosx * 50 + 2insx * 50) = x (150cosx + 100insx) = x Solving 150cosx + 100insx = x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-100insx' to each side of the equation. 150cosx + 100insx + -100insx = -100insx + x Combine like terms: 100insx + -100insx = 0 150cosx + 0 = -100insx + x 150cosx = -100insx + x Divide each side by '150osx'. c = -0.6666666667ino-1 + 0.006666666667o-1s-1 Simplifying c = -0.6666666667ino-1 + 0.006666666667o-1s-1
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