4-cos^2(x)+5sin(x)=2sin^2(x)+sin(x)

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Solution for 4-cos^2(x)+5sin(x)=2sin^2(x)+sin(x) equation:


Simplifying
4 + -1cos2(x) + 5sin(x) = 2sin2(x) + sin(x)

Multiply cos2 * x
4 + -1cos2x + 5sin(x) = 2sin2(x) + sin(x)

Multiply ins * x
4 + -1cos2x + 5insx = 2sin2(x) + sin(x)

Multiply in2s * x
4 + -1cos2x + 5insx = 2in2sx + sin(x)

Multiply ins * x
4 + -1cos2x + 5insx = 2in2sx + insx

Reorder the terms:
4 + -1cos2x + 5insx = insx + 2in2sx

Solving
4 + -1cos2x + 5insx = insx + 2in2sx

Solving for variable 'c'.

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

Add '-4' to each side of the equation.
4 + -1cos2x + -4 + 5insx = insx + -4 + 2in2sx

Reorder the terms:
4 + -4 + -1cos2x + 5insx = insx + -4 + 2in2sx

Combine like terms: 4 + -4 = 0
0 + -1cos2x + 5insx = insx + -4 + 2in2sx
-1cos2x + 5insx = insx + -4 + 2in2sx

Reorder the terms:
-1cos2x + 5insx = -4 + insx + 2in2sx

Add '-5insx' to each side of the equation.
-1cos2x + 5insx + -5insx = -4 + insx + -5insx + 2in2sx

Combine like terms: 5insx + -5insx = 0
-1cos2x + 0 = -4 + insx + -5insx + 2in2sx
-1cos2x = -4 + insx + -5insx + 2in2sx

Combine like terms: insx + -5insx = -4insx
-1cos2x = -4 + -4insx + 2in2sx

Divide each side by '-1os2x'.
c = 4o-1s-2x-1 + 4ino-1s-1 + -2in2o-1s-1

Simplifying
c = 4o-1s-2x-1 + 4ino-1s-1 + -2in2o-1s-1

Reorder the terms:
c = 4ino-1s-1 + -2in2o-1s-1 + 4o-1s-2x-1

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