(sinx+cosx)2=sin(2x)+1

Solution for (sinx+cosx)2=sin(2x)+1 equation:

Simplifying
(sinx + cosx) * 2 = sin(2x) + 1

Reorder the terms:
(cosx + insx) * 2 = sin(2x) + 1

Reorder the terms for easier multiplication:
2(cosx + insx) = sin(2x) + 1
(cosx * 2 + insx * 2) = sin(2x) + 1
(2cosx + 2insx) = sin(2x) + 1

Remove parenthesis around (2x)
2cosx + 2insx = ins * 2x + 1

Reorder the terms for easier multiplication:
2cosx + 2insx = 2ins * x + 1

Multiply ins * x
2cosx + 2insx = 2insx + 1

Reorder the terms:
2cosx + 2insx = 1 + 2insx

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

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

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

Solving
2cosx = 1

Solving for variable 'c'.

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

Divide each side by '2osx'.
c = 0.5o-1s-1x-1

Simplifying
c = 0.5o-1s-1x-1