3cos(2X)-4sin(2X)=-5

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Solution for 3cos(2X)-4sin(2X)=-5 equation:


Simplifying
3cos(2X) + -4sin(2X) = -5

Remove parenthesis around (2X)
3cos * 2X + -4sin(2X) = -5

Reorder the terms for easier multiplication:
3 * 2cos * X + -4sin(2X) = -5

Multiply 3 * 2
6cos * X + -4sin(2X) = -5

Multiply cos * X
6cosX + -4sin(2X) = -5

Remove parenthesis around (2X)
6cosX + -4ins * 2X = -5

Reorder the terms for easier multiplication:
6cosX + -4 * 2ins * X = -5

Multiply -4 * 2
6cosX + -8ins * X = -5

Multiply ins * X
6cosX + -8insX = -5

Solving
6cosX + -8insX = -5

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '8insX' to each side of the equation.
6cosX + -8insX + 8insX = -5 + 8insX

Combine like terms: -8insX + 8insX = 0
6cosX + 0 = -5 + 8insX
6cosX = -5 + 8insX

Divide each side by '6osX'.
c = -0.8333333333o-1s-1X-1 + 1.333333333ino-1

Simplifying
c = -0.8333333333o-1s-1X-1 + 1.333333333ino-1

Reorder the terms:
c = 1.333333333ino-1 + -0.8333333333o-1s-1X-1

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