Cosec(2a)-cot(2a)=tan(a)

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Solution for Cosec(2a)-cot(2a)=tan(a) equation: 


Simplifying
Cosec(2a) + -1cot(2a) = tan(a)

Remove parenthesis around (2a)
ceosC * 2a + -1cot(2a) = tan(a)

Reorder the terms for easier multiplication:
2ceosC * a + -1cot(2a) = tan(a)

Multiply ceosC * a
2aceosC + -1cot(2a) = tan(a)

Remove parenthesis around (2a)
2aceosC + -1cot * 2a = tan(a)

Reorder the terms for easier multiplication:
2aceosC + -1 * 2cot * a = tan(a)

Multiply -1 * 2
2aceosC + -2cot * a = tan(a)

Multiply cot * a
2aceosC + -2acot = tan(a)

Multiply ant * a
2aceosC + -2acot = a2nt

Solving
2aceosC + -2acot = a2nt

Solving for variable 'a'.

Combine like terms: a2nt + -1a2nt = 0
2aceosC + -2acot + -1a2nt = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(2ceosC + -2cot + -1ant) = 0


Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(2ceosC + -2cot + -1ant)' equal to zero and attempt to solve:

Simplifying
2ceosC + -2cot + -1ant = 0

Reorder the terms:
-1ant + 2ceosC + -2cot = 0

Solving
-1ant + 2ceosC + -2cot = 0

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

Add '-2ceosC' to each side of the equation.
-1ant + 2ceosC + -2ceosC + -2cot = 0 + -2ceosC

Combine like terms: 2ceosC + -2ceosC = 0
-1ant + 0 + -2cot = 0 + -2ceosC
-1ant + -2cot = 0 + -2ceosC
Remove the zero:
-1ant + -2cot = -2ceosC

Add '2cot' to each side of the equation.
-1ant + -2cot + 2cot = -2ceosC + 2cot

Combine like terms: -2cot + 2cot = 0
-1ant + 0 = -2ceosC + 2cot
-1ant = -2ceosC + 2cot

Divide each side by '-1nt'.
a = 2cen-1ost-1C + -2cn-1o

Simplifying
a = 2cen-1ost-1C + -2cn-1o
Solution
a = {0, 2cen-1ost-1C + -2cn-1o}

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