sen(2x)+cos(2x)=senx+cosx

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Solution for sen(2x)+cos(2x)=senx+cosx equation:


Simplifying
sen(2x) + cos(2x) = senx + cosx

Remove parenthesis around (2x)
ens * 2x + cos(2x) = senx + cosx

Reorder the terms for easier multiplication:
2ens * x + cos(2x) = senx + cosx

Multiply ens * x
2ensx + cos(2x) = senx + cosx

Remove parenthesis around (2x)
2ensx + cos * 2x = senx + cosx

Reorder the terms for easier multiplication:
2ensx + 2cos * x = senx + cosx

Multiply cos * x
2ensx + 2cosx = senx + cosx

Reorder the terms:
2cosx + 2ensx = senx + cosx

Reorder the terms:
2cosx + 2ensx = cosx + ensx

Solving
2cosx + 2ensx = cosx + ensx

Solving for variable 'c'.

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

Add '-1cosx' to each side of the equation.
2cosx + -1cosx + 2ensx = cosx + -1cosx + ensx

Combine like terms: 2cosx + -1cosx = 1cosx
1cosx + 2ensx = cosx + -1cosx + ensx

Combine like terms: cosx + -1cosx = 0
1cosx + 2ensx = 0 + ensx
1cosx + 2ensx = ensx

Add '-2ensx' to each side of the equation.
1cosx + 2ensx + -2ensx = ensx + -2ensx

Combine like terms: 2ensx + -2ensx = 0
1cosx + 0 = ensx + -2ensx
1cosx = ensx + -2ensx

Combine like terms: ensx + -2ensx = -1ensx
1cosx = -1ensx

Divide each side by '1osx'.
c = -1eno-1

Simplifying
c = -1eno-1

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