Cosx(Tanx+1)=sinx+cosx

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


Simplifying
Cosx(Tanx + 1) = sinx + cosx

Reorder the terms:
osxC(1 + anxT) = sinx + cosx
(1 * osxC + anxT * osxC) = sinx + cosx

Reorder the terms:
(anosx2CT + 1osxC) = sinx + cosx
(anosx2CT + 1osxC) = sinx + cosx

Reorder the terms:
anosx2CT + 1osxC = cosx + insx

Solving
anosx2CT + 1osxC = cosx + insx

Solving for variable 'a'.

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

Add '-1osxC' to each side of the equation.
anosx2CT + 1osxC + -1osxC = cosx + insx + -1osxC

Combine like terms: 1osxC + -1osxC = 0
anosx2CT + 0 = cosx + insx + -1osxC
anosx2CT = cosx + insx + -1osxC

Divide each side by 'nosx2CT'.
a = cn-1x-1C-1T-1 + io-1x-1C-1T-1 + -1n-1x-1T-1

Simplifying
a = cn-1x-1C-1T-1 + io-1x-1C-1T-1 + -1n-1x-1T-1

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