Tan(2x)=cot(x+30)

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Solution for Tan(2x)=cot(x+30) equation:


Simplifying
Tan(2x) = cot(x + 30)

Remove parenthesis around (2x)
anT * 2x = cot(x + 30)

Reorder the terms for easier multiplication:
2anT * x = cot(x + 30)

Multiply anT * x
2anxT = cot(x + 30)

Reorder the terms:
2anxT = cot(30 + x)
2anxT = (30 * cot + x * cot)
2anxT = (30cot + cotx)

Solving
2anxT = 30cot + cotx

Solving for variable 'a'.

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

Divide each side by '2nxT'.
a = 15cn-1otx-1T-1 + 0.5cn-1otT-1

Simplifying
a = 15cn-1otx-1T-1 + 0.5cn-1otT-1

Reorder the terms:
a = 0.5cn-1otT-1 + 15cn-1otx-1T-1

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