tan(2*x)*tan(x)=cos(5*x)

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Solution for tan(2*x)*tan(x)=cos(5*x) equation:


Simplifying
tan(2x) * tan(x) = cos(5x)

Remove parenthesis around (2x)
ant * 2x * tan(x) = cos(5x)

Reorder the terms for easier multiplication:
2ant * x * ant * x = cos(5x)

Multiply ant * x
2antx * ant * x = cos(5x)

Multiply antx * ant
2a2n2t2x * x = cos(5x)

Multiply a2n2t2x * x
2a2n2t2x2 = cos(5x)

Remove parenthesis around (5x)
2a2n2t2x2 = cos * 5x

Reorder the terms for easier multiplication:
2a2n2t2x2 = 5cos * x

Multiply cos * x
2a2n2t2x2 = 5cosx

Solving
2a2n2t2x2 = 5cosx

Solving for variable 'a'.

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

Divide each side by '2n2t2x2'.
a2 = 2.5cn-2ost-2x-1

Simplifying
a2 = 2.5cn-2ost-2x-1

Combine like terms: 2.5cn-2ost-2x-1 + -2.5cn-2ost-2x-1 = 0.0
a2 + -2.5cn-2ost-2x-1 = 0.0

The solution to this equation could not be determined.

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