sin(2x)-(.259)=cos(x)-(.978)

Solution for sin(2x)-(.259)=cos(x)-(.978) equation:

Simplifying
sin(2x) + -1(0.259) = cos(x) + -1(0.978)

Remove parenthesis around (2x)
ins * 2x + -1(0.259) = cos(x) + -1(0.978)

Reorder the terms for easier multiplication:
2ins * x + -1(0.259) = cos(x) + -1(0.978)

Multiply ins * x
2insx + -1(0.259) = cos(x) + -1(0.978)

Multiply -1 * 0.259
2insx + -0.259 = cos(x) + -1(0.978)

Reorder the terms:
-0.259 + 2insx = cos(x) + -1(0.978)

Multiply cos * x
-0.259 + 2insx = cosx + -1(0.978)

Multiply -1 * 0.978
-0.259 + 2insx = cosx + -0.978

Reorder the terms:
-0.259 + 2insx = -0.978 + cosx

Solving
-0.259 + 2insx = -0.978 + cosx

Solving for variable 'i'.

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

Add '0.259' to each side of the equation.
-0.259 + 0.259 + 2insx = -0.978 + 0.259 + cosx

Combine like terms: -0.259 + 0.259 = 0.000
0.000 + 2insx = -0.978 + 0.259 + cosx
2insx = -0.978 + 0.259 + cosx

Combine like terms: -0.978 + 0.259 = -0.719
2insx = -0.719 + cosx

Divide each side by '2nsx'.
i = -0.3595n-1s-1x-1 + 0.5cn-1o

Simplifying
i = -0.3595n-1s-1x-1 + 0.5cn-1o

Reorder the terms:
i = 0.5cn-1o + -0.3595n-1s-1x-1