Cos^2x-sin^2x=1+sinx

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


Simplifying
Cos2x + -1sin2x = 1 + sinx

Reorder the terms:
-1in2sx + os2xC = 1 + sinx

Solving
-1in2sx + os2xC = 1 + 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.
-1in2sx + -1insx + os2xC = 1 + insx + -1insx

Reorder the terms:
-1insx + -1in2sx + os2xC = 1 + insx + -1insx

Combine like terms: insx + -1insx = 0
-1insx + -1in2sx + os2xC = 1 + 0
-1insx + -1in2sx + os2xC = 1

Add '-1os2xC' to each side of the equation.
-1insx + -1in2sx + os2xC + -1os2xC = 1 + -1os2xC

Combine like terms: os2xC + -1os2xC = 0
-1insx + -1in2sx + 0 = 1 + -1os2xC
-1insx + -1in2sx = 1 + -1os2xC

Reorder the terms:
-1 + -1insx + -1in2sx + os2xC = 1 + -1os2xC + -1 + os2xC

Reorder the terms:
-1 + -1insx + -1in2sx + os2xC = 1 + -1 + -1os2xC + os2xC

Combine like terms: 1 + -1 = 0
-1 + -1insx + -1in2sx + os2xC = 0 + -1os2xC + os2xC
-1 + -1insx + -1in2sx + os2xC = -1os2xC + os2xC

Combine like terms: -1os2xC + os2xC = 0
-1 + -1insx + -1in2sx + os2xC = 0

The solution to this equation could not be determined.

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