sin(45-x)=cosx

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Solution for sin(45-x)=cosx equation: 


Simplifying
sin(45 + -1x) = cosx
(45 * ins + -1x * ins) = cosx
(45ins + -1insx) = cosx

Solving
45ins + -1insx = cosx

Solving for variable 'i'.

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

Reorder the terms:
-1cosx + 45ins + -1insx = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-1cosx + 45ins + -1insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-1cox + 45in + -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 i 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 '(-1cox + 45in + -1inx)' equal to zero and attempt to solve:

Simplifying
-1cox + 45in + -1inx = 0

Solving
-1cox + 45in + -1inx = 0

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

Add 'cox' to each side of the equation.
-1cox + 45in + cox + -1inx = 0 + cox

Reorder the terms:
-1cox + cox + 45in + -1inx = 0 + cox

Combine like terms: -1cox + cox = 0
0 + 45in + -1inx = 0 + cox
45in + -1inx = 0 + cox
Remove the zero:
45in + -1inx = cox

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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