cos(8x+1)=sin(x-10)

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Solution for cos(8x+1)=sin(x-10) equation: 


Simplifying
cos(8x + 1) = sin(x + -10)

Reorder the terms:
cos(1 + 8x) = sin(x + -10)
(1 * cos + 8x * cos) = sin(x + -10)
(1cos + 8cosx) = sin(x + -10)

Reorder the terms:
1cos + 8cosx = ins(-10 + x)
1cos + 8cosx = (-10 * ins + x * ins)
1cos + 8cosx = (-10ins + insx)

Solving
1cos + 8cosx = -10ins + insx

Solving for variable 'c'.

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

Reorder the terms:
1cos + 8cosx + 10ins + -1insx = -10ins + 10ins + insx + -1insx

Combine like terms: -10ins + 10ins = 0
1cos + 8cosx + 10ins + -1insx = 0 + insx + -1insx
1cos + 8cosx + 10ins + -1insx = insx + -1insx

Combine like terms: insx + -1insx = 0
1cos + 8cosx + 10ins + -1insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(co + 8cox + 10in + -1inx) = 0


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

Simplifying
s = 0

Solving
s = 0

Move all terms containing c 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 '(co + 8cox + 10in + -1inx)' equal to zero and attempt to solve:

Simplifying
co + 8cox + 10in + -1inx = 0

Solving
co + 8cox + 10in + -1inx = 0

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

Add '-10in' to each side of the equation.
co + 8cox + 10in + -10in + -1inx = 0 + -10in

Combine like terms: 10in + -10in = 0
co + 8cox + 0 + -1inx = 0 + -10in
co + 8cox + -1inx = 0 + -10in
Remove the zero:
co + 8cox + -1inx = -10in

Add 'inx' to each side of the equation.
co + 8cox + -1inx + inx = -10in + inx

Combine like terms: -1inx + inx = 0
co + 8cox + 0 = -10in + inx
co + 8cox = -10in + inx

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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