Cosx(2cosx+tgx)=1

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Solution for Cosx(2cosx+tgx)=1 equation: 


Simplifying
Cosx(2cosx + tgx) = 1
(2cosx * osxC + gtx * osxC) = 1
(2co2s2x2C + gostx2C) = 1

Solving
2co2s2x2C + gostx2C = 1

Solving for variable 'c'.

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

Add '-1gostx2C' to each side of the equation.
2co2s2x2C + gostx2C + -1gostx2C = 1 + -1gostx2C

Combine like terms: gostx2C + -1gostx2C = 0
2co2s2x2C + 0 = 1 + -1gostx2C
2co2s2x2C = 1 + -1gostx2C

Divide each side by '2o2s2x2C'.
c = 0.5o-2s-2x-2C-1 + -0.5go-1s-1t

Simplifying
c = 0.5o-2s-2x-2C-1 + -0.5go-1s-1t

Reorder the terms:
c = -0.5go-1s-1t + 0.5o-2s-2x-2C-1

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