2+11cosx-2sin^2x=-7

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Solution for 2+11cosx-2sin^2x=-7 equation: 


Simplifying
2 + 11cosx + -2sin2x = -7

Solving
2 + 11cosx + -2in2sx = -7

Solving for variable 'c'.

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

Add '-2' to each side of the equation.
2 + 11cosx + -2 + -2in2sx = -7 + -2

Reorder the terms:
2 + -2 + 11cosx + -2in2sx = -7 + -2

Combine like terms: 2 + -2 = 0
0 + 11cosx + -2in2sx = -7 + -2
11cosx + -2in2sx = -7 + -2

Combine like terms: -7 + -2 = -9
11cosx + -2in2sx = -9

Add '2in2sx' to each side of the equation.
11cosx + -2in2sx + 2in2sx = -9 + 2in2sx

Combine like terms: -2in2sx + 2in2sx = 0
11cosx + 0 = -9 + 2in2sx
11cosx = -9 + 2in2sx

Divide each side by '11osx'.
c = -0.8181818182o-1s-1x-1 + 0.1818181818in2o-1

Simplifying
c = -0.8181818182o-1s-1x-1 + 0.1818181818in2o-1

Reorder the terms:
c = 0.1818181818in2o-1 + -0.8181818182o-1s-1x-1

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