cos(x-a)=sin(a+24)

Solution for cos(x-a)=sin(a+24) equation:

Simplifying
cos(x + -1a) = sin(a + 24)

Reorder the terms:
cos(-1a + x) = sin(a + 24)
(-1a * cos + x * cos) = sin(a + 24)
(-1acos + cosx) = sin(a + 24)

Reorder the terms:
-1acos + cosx = ins(24 + a)
-1acos + cosx = (24 * ins + a * ins)

Reorder the terms:
-1acos + cosx = (ains + 24ins)
-1acos + cosx = (ains + 24ins)

Solving
-1acos + cosx = ains + 24ins

Solving for variable 'a'.

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

Add '-1ains' to each side of the equation.
-1acos + -1ains + cosx = ains + -1ains + 24ins

Combine like terms: ains + -1ains = 0
-1acos + -1ains + cosx = 0 + 24ins
-1acos + -1ains + cosx = 24ins

Add '-1cosx' to each side of the equation.
-1acos + -1ains + cosx + -1cosx = -1cosx + 24ins

Combine like terms: cosx + -1cosx = 0
-1acos + -1ains + 0 = -1cosx + 24ins
-1acos + -1ains = -1cosx + 24ins

Reorder the terms:
-1acos + -1ains + cosx + -24ins = -1cosx + cosx + 24ins + -24ins

Combine like terms: -1cosx + cosx = 0
-1acos + -1ains + cosx + -24ins = 0 + 24ins + -24ins
-1acos + -1ains + cosx + -24ins = 24ins + -24ins

Combine like terms: 24ins + -24ins = 0
-1acos + -1ains + cosx + -24ins = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-1aco + -1ain + cox + -24in) = 0

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

Simplifying
s = 0

Solving
s = 0

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

Add '-1s' to each side of the equation.
s + -1s = 0 + -1s
Remove the zero:
0 = -1s

Simplifying
0 = -1s

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 '(-1aco + -1ain + cox + -24in)' equal to zero and attempt to solve:

Simplifying
-1aco + -1ain + cox + -24in = 0

Solving
-1aco + -1ain + cox + -24in = 0

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

Add '-1cox' to each side of the equation.
-1aco + -1ain + cox + -1cox + -24in = 0 + -1cox

Combine like terms: cox + -1cox = 0
-1aco + -1ain + 0 + -24in = 0 + -1cox
-1aco + -1ain + -24in = 0 + -1cox
Remove the zero:
-1aco + -1ain + -24in = -1cox

Add '24in' to each side of the equation.
-1aco + -1ain + -24in + 24in = -1cox + 24in

Combine like terms: -24in + 24in = 0
-1aco + -1ain + 0 = -1cox + 24in
-1aco + -1ain = -1cox + 24in

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.