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Simplifying 2cos(2x) + 10sin(2x) = 5 Remove parenthesis around (2x) 2cos * 2x + 10sin(2x) = 5 Reorder the terms for easier multiplication: 2 * 2cos * x + 10sin(2x) = 5 Multiply 2 * 2 4cos * x + 10sin(2x) = 5 Multiply cos * x 4cosx + 10sin(2x) = 5 Remove parenthesis around (2x) 4cosx + 10ins * 2x = 5 Reorder the terms for easier multiplication: 4cosx + 10 * 2ins * x = 5 Multiply 10 * 2 4cosx + 20ins * x = 5 Multiply ins * x 4cosx + 20insx = 5 Solving 4cosx + 20insx = 5 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20insx' to each side of the equation. 4cosx + 20insx + -20insx = 5 + -20insx Combine like terms: 20insx + -20insx = 0 4cosx + 0 = 5 + -20insx 4cosx = 5 + -20insx Divide each side by '4osx'. c = 1.25o-1s-1x-1 + -5ino-1 Simplifying c = 1.25o-1s-1x-1 + -5ino-1 Reorder the terms: c = -5ino-1 + 1.25o-1s-1x-1
| 3+u=-9 | | 62/100=X/18.6 | | 33=4x^2 | | -1/4y-1=23.5 | | X-5.89=9.99 | | 3x-9x+82=5x+38 | | 2=5+v | | 10(p-4)= | | 0.002x-0.5=0 | | 1.4-3.1+x-2.4= | | 2c-7=3 | | -7u+2=-13 | | -3(8x-2)=-3x | | 6n-6n=3(4n-8)-7(2n-4) | | 14=4-2 | | 8-1/3x=1/9x= | | 125=5(x-60)+75 | | 11y^2-37y+12=0 | | 15t+(-11t)= | | 2(x+8)=9x+4-7x+12 | | 49x^2+84x+35=0 | | 79x^2+84x+35=0 | | 4(x+5)+2=8x-4(x-4) | | 2x^2-5=40 | | y=1.5-3x | | 13/20x=78 | | 17-6(3x-4)=7 | | 8(x+5)=8(5+x) | | 3z+7=-7 | | 2(x-8)+4x=6(c-2)-4 | | 13x-11y=-29 | | 10/13x=40 |