tan(x)*tan(0.5x)=2

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Solution for tan(x)*tan(0.5x)=2 equation: 


Simplifying
tan(x) * tan(0.5x) = 2

Remove parenthesis around (0.5x)
ant * x * ant * 0.5x = 2

Reorder the terms for easier multiplication:
0.5ant * x * ant * x = 2

Multiply ant * x
0.5antx * ant * x = 2

Multiply antx * ant
0.5a2n2t2x * x = 2

Multiply a2n2t2x * x
0.5a2n2t2x2 = 2

Solving
0.5a2n2t2x2 = 2

Solving for variable 'a'.

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

Divide each side by '0.5n2t2x2'.
a2 = 4n-2t-2x-2

Simplifying
a2 = 4n-2t-2x-2

Take the square root of each side:
a = {-2n-1t-1x-1, 2n-1t-1x-1}

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