sin(x+20)-cos(x+80)=0.5

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Solution for sin(x+20)-cos(x+80)=0.5 equation: 


Simplifying
sin(x + 20) + -1cos(x + 80) = 0.5

Reorder the terms:
ins(20 + x) + -1cos(x + 80) = 0.5
(20 * ins + x * ins) + -1cos(x + 80) = 0.5
(20ins + insx) + -1cos(x + 80) = 0.5

Reorder the terms:
20ins + insx + -1cos(80 + x) = 0.5
20ins + insx + (80 * -1cos + x * -1cos) = 0.5
20ins + insx + (-80cos + -1cosx) = 0.5

Reorder the terms:
-80cos + -1cosx + 20ins + insx = 0.5

Solving
-80cos + -1cosx + 20ins + insx = 0.5

Solving for variable 'c'.

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

Add '-20ins' to each side of the equation.
-80cos + -1cosx + 20ins + -20ins + insx = 0.5 + -20ins

Combine like terms: 20ins + -20ins = 0
-80cos + -1cosx + 0 + insx = 0.5 + -20ins
-80cos + -1cosx + insx = 0.5 + -20ins

Add '-1insx' to each side of the equation.
-80cos + -1cosx + insx + -1insx = 0.5 + -20ins + -1insx

Combine like terms: insx + -1insx = 0
-80cos + -1cosx + 0 = 0.5 + -20ins + -1insx
-80cos + -1cosx = 0.5 + -20ins + -1insx

Reorder the terms:
-0.5 + -80cos + -1cosx + 20ins + insx = 0.5 + -20ins + -1insx + -0.5 + 20ins + insx

Reorder the terms:
-0.5 + -80cos + -1cosx + 20ins + insx = 0.5 + -0.5 + -20ins + 20ins + -1insx + insx

Combine like terms: 0.5 + -0.5 = 0.0
-0.5 + -80cos + -1cosx + 20ins + insx = 0.0 + -20ins + 20ins + -1insx + insx
-0.5 + -80cos + -1cosx + 20ins + insx = -20ins + 20ins + -1insx + insx

Combine like terms: -20ins + 20ins = 0
-0.5 + -80cos + -1cosx + 20ins + insx = 0 + -1insx + insx
-0.5 + -80cos + -1cosx + 20ins + insx = -1insx + insx

Combine like terms: -1insx + insx = 0
-0.5 + -80cos + -1cosx + 20ins + insx = 0

The solution to this equation could not be determined.

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