sin(2*a)=cos(a)

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Solution for sin(2*a)=cos(a) equation:


Simplifying
sin(2a) = cos(a)

Remove parenthesis around (2a)
ins * 2a = cos(a)

Reorder the terms for easier multiplication:
2ins * a = cos(a)

Multiply ins * a
2ains = cos(a)

Multiply cos * a
2ains = acos

Solving
2ains = acos

Solving for variable 'a'.

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

Add '-1acos' to each side of the equation.
-1acos + 2ains = acos + -1acos

Combine like terms: acos + -1acos = 0
-1acos + 2ains = 0

Factor out the Greatest Common Factor (GCF), 'as'.
as(-1co + 2in) = 0

Subproblem 1

Set the factor 'as' equal to zero and attempt to solve: Simplifying as = 0 Solving as = 0 Move all terms containing a to the left, all other terms to the right. Simplifying as = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1co + 2in)' equal to zero and attempt to solve: Simplifying -1co + 2in = 0 Solving -1co + 2in = 0 Move all terms containing a to the left, all other terms to the right. Add 'co' to each side of the equation. -1co + co + 2in = 0 + co Combine like terms: -1co + co = 0 0 + 2in = 0 + co 2in = 0 + co Remove the zero: 2in = co Add '-2in' to each side of the equation. 2in + -2in = co + -2in Combine like terms: 2in + -2in = 0 0 = co + -2in Simplifying 0 = co + -2in The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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