Cosx*(cosx+5sinx)=1

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Solution for Cosx*(cosx+5sinx)=1 equation: 


Simplifying
Cosx(cosx + 5sinx) = 1
(cosx * osxC + 5insx * osxC) = 1
(co2s2x2C + 5inos2x2C) = 1

Solving
co2s2x2C + 5inos2x2C = 1

Solving for variable 'c'.

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

Add '-5inos2x2C' to each side of the equation.
co2s2x2C + 5inos2x2C + -5inos2x2C = 1 + -5inos2x2C

Combine like terms: 5inos2x2C + -5inos2x2C = 0
co2s2x2C + 0 = 1 + -5inos2x2C
co2s2x2C = 1 + -5inos2x2C

Divide each side by 'o2s2x2C'.
c = o-2s-2x-2C-1 + -5ino-1

Simplifying
c = o-2s-2x-2C-1 + -5ino-1

Reorder the terms:
c = -5ino-1 + o-2s-2x-2C-1

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