Cos^2(x)-sin^2(x)+3cos(x)-1=0

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Solution for Cos^2(x)-sin^2(x)+3cos(x)-1=0 equation:


Simplifying
Cos2(x) + -1sin2(x) + 3cos(x) + -1 = 0

Multiply os2C * x
os2xC + -1sin2(x) + 3cos(x) + -1 = 0

Multiply in2s * x
os2xC + -1in2sx + 3cos(x) + -1 = 0

Multiply cos * x
os2xC + -1in2sx + 3cosx + -1 = 0

Reorder the terms:
-1 + 3cosx + -1in2sx + os2xC = 0

Solving
-1 + 3cosx + -1in2sx + os2xC = 0

Solving for variable 'c'.

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

Add '1' to each side of the equation.
-1 + 3cosx + -1in2sx + 1 + os2xC = 0 + 1

Reorder the terms:
-1 + 1 + 3cosx + -1in2sx + os2xC = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3cosx + -1in2sx + os2xC = 0 + 1
3cosx + -1in2sx + os2xC = 0 + 1

Combine like terms: 0 + 1 = 1
3cosx + -1in2sx + os2xC = 1

Add 'in2sx' to each side of the equation.
3cosx + -1in2sx + in2sx + os2xC = 1 + in2sx

Combine like terms: -1in2sx + in2sx = 0
3cosx + 0 + os2xC = 1 + in2sx
3cosx + os2xC = 1 + in2sx

Add '-1os2xC' to each side of the equation.
3cosx + os2xC + -1os2xC = 1 + in2sx + -1os2xC

Combine like terms: os2xC + -1os2xC = 0
3cosx + 0 = 1 + in2sx + -1os2xC
3cosx = 1 + in2sx + -1os2xC

Divide each side by '3osx'.
c = 0.3333333333o-1s-1x-1 + 0.3333333333in2o-1 + -0.3333333333sC

Simplifying
c = 0.3333333333o-1s-1x-1 + 0.3333333333in2o-1 + -0.3333333333sC

Reorder the terms:
c = 0.3333333333in2o-1 + 0.3333333333o-1s-1x-1 + -0.3333333333sC

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