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Simplifying 4sin2x + 2cos2x + 5sinx = 0 Reorder the terms: 2cos2x + 5insx + 4in2sx = 0 Solving 2cos2x + 5insx + 4in2sx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5insx' to each side of the equation. 2cos2x + 5insx + -5insx + 4in2sx = 0 + -5insx Combine like terms: 5insx + -5insx = 0 2cos2x + 0 + 4in2sx = 0 + -5insx 2cos2x + 4in2sx = 0 + -5insx Remove the zero: 2cos2x + 4in2sx = -5insx Add '-4in2sx' to each side of the equation. 2cos2x + 4in2sx + -4in2sx = -5insx + -4in2sx Combine like terms: 4in2sx + -4in2sx = 0 2cos2x + 0 = -5insx + -4in2sx 2cos2x = -5insx + -4in2sx Divide each side by '2os2x'. c = -2.5ino-1s-1 + -2in2o-1s-1 Simplifying c = -2.5ino-1s-1 + -2in2o-1s-1
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