1-sin^2x=2+sinx

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Solution for 1-sin^2x=2+sinx equation: 


Simplifying
1 + -1sin2x = 2 + sinx

Solving
1 + -1in2sx = 2 + insx

Solving for variable 'i'.

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

Add '-1insx' to each side of the equation.
1 + -1insx + -1in2sx = 2 + insx + -1insx

Combine like terms: insx + -1insx = 0
1 + -1insx + -1in2sx = 2 + 0
1 + -1insx + -1in2sx = 2

Add '-1' to each side of the equation.
1 + -1insx + -1 + -1in2sx = 2 + -1

Reorder the terms:
1 + -1 + -1insx + -1in2sx = 2 + -1

Combine like terms: 1 + -1 = 0
0 + -1insx + -1in2sx = 2 + -1
-1insx + -1in2sx = 2 + -1

Combine like terms: 2 + -1 = 1
-1insx + -1in2sx = 1

Reorder the terms:
-1 + -1insx + -1in2sx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -1insx + -1in2sx = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + insx + in2sx) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(1 + insx + in2sx)' equal to zero and attempt to solve:

Simplifying
1 + insx + in2sx = 0

Solving
1 + insx + in2sx = 0

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

Add '-1' to each side of the equation.
1 + insx + -1 + in2sx = 0 + -1

Reorder the terms:
1 + -1 + insx + in2sx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + insx + in2sx = 0 + -1
insx + in2sx = 0 + -1

Combine like terms: 0 + -1 = -1
insx + in2sx = -1

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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