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Simplifying 3sin2(x) + -4sin(x) * cos(x) + 5cos2(x) = 2 Multiply in2s * x 3in2sx + -4sin(x) * cos(x) + 5cos2(x) = 2 Multiply ins * x 3in2sx + -4insx * cos * x + 5cos2(x) = 2 Multiply insx * cos 3in2sx + -4cinos2x * x + 5cos2(x) = 2 Multiply cinos2x * x 3in2sx + -4cinos2x2 + 5cos2(x) = 2 Multiply cos2 * x 3in2sx + -4cinos2x2 + 5cos2x = 2 Reorder the terms: -4cinos2x2 + 5cos2x + 3in2sx = 2 Solving -4cinos2x2 + 5cos2x + 3in2sx = 2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3in2sx' to each side of the equation. -4cinos2x2 + 5cos2x + 3in2sx + -3in2sx = 2 + -3in2sx Combine like terms: 3in2sx + -3in2sx = 0 -4cinos2x2 + 5cos2x + 0 = 2 + -3in2sx -4cinos2x2 + 5cos2x = 2 + -3in2sx Reorder the terms: -2 + -4cinos2x2 + 5cos2x + 3in2sx = 2 + -3in2sx + -2 + 3in2sx Reorder the terms: -2 + -4cinos2x2 + 5cos2x + 3in2sx = 2 + -2 + -3in2sx + 3in2sx Combine like terms: 2 + -2 = 0 -2 + -4cinos2x2 + 5cos2x + 3in2sx = 0 + -3in2sx + 3in2sx -2 + -4cinos2x2 + 5cos2x + 3in2sx = -3in2sx + 3in2sx Combine like terms: -3in2sx + 3in2sx = 0 -2 + -4cinos2x2 + 5cos2x + 3in2sx = 0 The solution to this equation could not be determined.
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