Cos(7x)cos(4x)+sin(7x)sin(4x)=

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Solution for Cos(7x)cos(4x)+sin(7x)sin(4x)= equation:


Simplifying
Cos(7x) * cos(4x) + sin(7x) * sin(4x) = 0

Remove parenthesis around (7x)
osC * 7x * cos(4x) + sin(7x) * sin(4x) = 0

Remove parenthesis around (4x)
osC * 7x * cos * 4x + sin(7x) * sin(4x) = 0

Reorder the terms for easier multiplication:
7 * 4osC * x * cos * x + sin(7x) * sin(4x) = 0

Multiply 7 * 4
28osC * x * cos * x + sin(7x) * sin(4x) = 0

Multiply osC * x
28osxC * cos * x + sin(7x) * sin(4x) = 0

Multiply osxC * cos
28co2s2xC * x + sin(7x) * sin(4x) = 0

Multiply co2s2xC * x
28co2s2x2C + sin(7x) * sin(4x) = 0

Remove parenthesis around (7x)
28co2s2x2C + ins * 7x * sin(4x) = 0

Remove parenthesis around (4x)
28co2s2x2C + ins * 7x * ins * 4x = 0

Reorder the terms for easier multiplication:
28co2s2x2C + 7 * 4ins * x * ins * x = 0

Multiply 7 * 4
28co2s2x2C + 28ins * x * ins * x = 0

Multiply ins * x
28co2s2x2C + 28insx * ins * x = 0

Multiply insx * ins
28co2s2x2C + 28i2n2s2x * x = 0

Multiply i2n2s2x * x
28co2s2x2C + 28i2n2s2x2 = 0

Solving
28co2s2x2C + 28i2n2s2x2 = 0

Solving for variable 'c'.

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

Add '-28i2n2s2x2' to each side of the equation.
28co2s2x2C + 28i2n2s2x2 + -28i2n2s2x2 = 0 + -28i2n2s2x2

Combine like terms: 28i2n2s2x2 + -28i2n2s2x2 = 0
28co2s2x2C + 0 = 0 + -28i2n2s2x2
28co2s2x2C = 0 + -28i2n2s2x2
Remove the zero:
28co2s2x2C = -28i2n2s2x2

Divide each side by '28o2s2x2C'.
c = -1i2n2o-2C-1

Simplifying
c = -1i2n2o-2C-1

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