Cos(3x)cos(7x)-sin(3x)sin(7x)=0.6

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Solution for Cos(3x)cos(7x)-sin(3x)sin(7x)=0.6 equation:


Simplifying
Cos(3x) * cos(7x) + -1sin(3x) * sin(7x) = 0.6

Remove parenthesis around (3x)
osC * 3x * cos(7x) + -1sin(3x) * sin(7x) = 0.6

Remove parenthesis around (7x)
osC * 3x * cos * 7x + -1sin(3x) * sin(7x) = 0.6

Reorder the terms for easier multiplication:
3 * 7osC * x * cos * x + -1sin(3x) * sin(7x) = 0.6

Multiply 3 * 7
21osC * x * cos * x + -1sin(3x) * sin(7x) = 0.6

Multiply osC * x
21osxC * cos * x + -1sin(3x) * sin(7x) = 0.6

Multiply osxC * cos
21co2s2xC * x + -1sin(3x) * sin(7x) = 0.6

Multiply co2s2xC * x
21co2s2x2C + -1sin(3x) * sin(7x) = 0.6

Remove parenthesis around (3x)
21co2s2x2C + -1ins * 3x * sin(7x) = 0.6

Remove parenthesis around (7x)
21co2s2x2C + -1ins * 3x * ins * 7x = 0.6

Reorder the terms for easier multiplication:
21co2s2x2C + -1 * 3 * 7ins * x * ins * x = 0.6

Multiply -1 * 3
21co2s2x2C + -3 * 7ins * x * ins * x = 0.6

Multiply -3 * 7
21co2s2x2C + -21ins * x * ins * x = 0.6

Multiply ins * x
21co2s2x2C + -21insx * ins * x = 0.6

Multiply insx * ins
21co2s2x2C + -21i2n2s2x * x = 0.6

Multiply i2n2s2x * x
21co2s2x2C + -21i2n2s2x2 = 0.6

Solving
21co2s2x2C + -21i2n2s2x2 = 0.6

Solving for variable 'c'.

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

Add '21i2n2s2x2' to each side of the equation.
21co2s2x2C + -21i2n2s2x2 + 21i2n2s2x2 = 0.6 + 21i2n2s2x2

Combine like terms: -21i2n2s2x2 + 21i2n2s2x2 = 0
21co2s2x2C + 0 = 0.6 + 21i2n2s2x2
21co2s2x2C = 0.6 + 21i2n2s2x2

Divide each side by '21o2s2x2C'.
c = 0.02857142857o-2s-2x-2C-1 + i2n2o-2C-1

Simplifying
c = 0.02857142857o-2s-2x-2C-1 + i2n2o-2C-1

Reorder the terms:
c = i2n2o-2C-1 + 0.02857142857o-2s-2x-2C-1

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