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Simplifying 3sin(2x) + 2cos2(x) = 10 Remove parenthesis around (2x) 3ins * 2x + 2cos2(x) = 10 Reorder the terms for easier multiplication: 3 * 2ins * x + 2cos2(x) = 10 Multiply 3 * 2 6ins * x + 2cos2(x) = 10 Multiply ins * x 6insx + 2cos2(x) = 10 Multiply cos2 * x 6insx + 2cos2x = 10 Reorder the terms: 2cos2x + 6insx = 10 Solving 2cos2x + 6insx = 10 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6insx' to each side of the equation. 2cos2x + 6insx + -6insx = 10 + -6insx Combine like terms: 6insx + -6insx = 0 2cos2x + 0 = 10 + -6insx 2cos2x = 10 + -6insx Divide each side by '2os2x'. c = 5o-1s-2x-1 + -3ino-1s-1 Simplifying c = 5o-1s-2x-1 + -3ino-1s-1 Reorder the terms: c = -3ino-1s-1 + 5o-1s-2x-1
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