Tan(3x+10)=Cot(x+9)

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Solution for Tan(3x+10)=Cot(x+9) equation:


Simplifying
Tan(3x + 10) = Cot(x + 9)

Reorder the terms:
anT(10 + 3x) = Cot(x + 9)
(10 * anT + 3x * anT) = Cot(x + 9)
(10anT + 3anxT) = Cot(x + 9)

Reorder the terms:
10anT + 3anxT = otC(9 + x)
10anT + 3anxT = (9 * otC + x * otC)
10anT + 3anxT = (9otC + otxC)

Solving
10anT + 3anxT = 9otC + otxC

Solving for variable 'a'.

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

Reorder the terms:
10anT + 3anxT + -9otC + -1otxC = 9otC + -9otC + otxC + -1otxC

Combine like terms: 9otC + -9otC = 0
10anT + 3anxT + -9otC + -1otxC = 0 + otxC + -1otxC
10anT + 3anxT + -9otC + -1otxC = otxC + -1otxC

Combine like terms: otxC + -1otxC = 0
10anT + 3anxT + -9otC + -1otxC = 0

The solution to this equation could not be determined.

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