sin(x+13)(cosx-13)=0.5

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Solution for sin(x+13)(cosx-13)=0.5 equation: 


Simplifying
sin(x + 13)(cosx + -13) = 0.5

Reorder the terms:
ins(13 + x)(cosx + -13) = 0.5

Reorder the terms:
ins(13 + x)(-13 + cosx) = 0.5

Multiply (13 + x) * (-13 + cosx)
ins(13(-13 + cosx) + x(-13 + cosx)) = 0.5
ins((-13 * 13 + cosx * 13) + x(-13 + cosx)) = 0.5
ins((-169 + 13cosx) + x(-13 + cosx)) = 0.5
ins(-169 + 13cosx + (-13 * x + cosx * x)) = 0.5

Reorder the terms:
ins(-169 + 13cosx + (cosx2 + -13x)) = 0.5
ins(-169 + 13cosx + (cosx2 + -13x)) = 0.5
ins(-169 + 13cosx + cosx2 + -13x) = 0.5
(-169 * ins + 13cosx * ins + cosx2 * ins + -13x * ins) = 0.5

Reorder the terms:
(13cinos2x + cinos2x2 + -169ins + -13insx) = 0.5
(13cinos2x + cinos2x2 + -169ins + -13insx) = 0.5

Solving
13cinos2x + cinos2x2 + -169ins + -13insx = 0.5

Solving for variable 'c'.

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

Add '169ins' to each side of the equation.
13cinos2x + cinos2x2 + -169ins + 169ins + -13insx = 0.5 + 169ins

Combine like terms: -169ins + 169ins = 0
13cinos2x + cinos2x2 + 0 + -13insx = 0.5 + 169ins
13cinos2x + cinos2x2 + -13insx = 0.5 + 169ins

Add '13insx' to each side of the equation.
13cinos2x + cinos2x2 + -13insx + 13insx = 0.5 + 169ins + 13insx

Combine like terms: -13insx + 13insx = 0
13cinos2x + cinos2x2 + 0 = 0.5 + 169ins + 13insx
13cinos2x + cinos2x2 = 0.5 + 169ins + 13insx

Reorder the terms:
-0.5 + 13cinos2x + cinos2x2 + -169ins + -13insx = 0.5 + 169ins + 13insx + -0.5 + -169ins + -13insx

Reorder the terms:
-0.5 + 13cinos2x + cinos2x2 + -169ins + -13insx = 0.5 + -0.5 + 169ins + -169ins + 13insx + -13insx

Combine like terms: 0.5 + -0.5 = 0.0
-0.5 + 13cinos2x + cinos2x2 + -169ins + -13insx = 0.0 + 169ins + -169ins + 13insx + -13insx
-0.5 + 13cinos2x + cinos2x2 + -169ins + -13insx = 169ins + -169ins + 13insx + -13insx

Combine like terms: 169ins + -169ins = 0
-0.5 + 13cinos2x + cinos2x2 + -169ins + -13insx = 0 + 13insx + -13insx
-0.5 + 13cinos2x + cinos2x2 + -169ins + -13insx = 13insx + -13insx

Combine like terms: 13insx + -13insx = 0
-0.5 + 13cinos2x + cinos2x2 + -169ins + -13insx = 0

The solution to this equation could not be determined.

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