(Sinx-1)(2cosx-1)=0

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Solution for (Sinx-1)(2cosx-1)=0 equation: 


Simplifying
(Sinx + -1)(2cosx + -1) = 0

Reorder the terms:
(-1 + inxS)(2cosx + -1) = 0

Reorder the terms:
(-1 + inxS)(-1 + 2cosx) = 0

Multiply (-1 + inxS) * (-1 + 2cosx)
(-1(-1 + 2cosx) + inxS(-1 + 2cosx)) = 0
((-1 * -1 + 2cosx * -1) + inxS(-1 + 2cosx)) = 0
((1 + -2cosx) + inxS(-1 + 2cosx)) = 0
(1 + -2cosx + (-1 * inxS + 2cosx * inxS)) = 0

Reorder the terms:
(1 + -2cosx + (2cinosx2S + -1inxS)) = 0
(1 + -2cosx + (2cinosx2S + -1inxS)) = 0

Reorder the terms:
(1 + 2cinosx2S + -2cosx + -1inxS) = 0
(1 + 2cinosx2S + -2cosx + -1inxS) = 0

Solving
1 + 2cinosx2S + -2cosx + -1inxS = 0

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + 2cinosx2S + -2cosx + -1 + -1inxS = 0 + -1

Reorder the terms:
1 + -1 + 2cinosx2S + -2cosx + -1inxS = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2cinosx2S + -2cosx + -1inxS = 0 + -1
2cinosx2S + -2cosx + -1inxS = 0 + -1

Combine like terms: 0 + -1 = -1
2cinosx2S + -2cosx + -1inxS = -1

Add 'inxS' to each side of the equation.
2cinosx2S + -2cosx + -1inxS + inxS = -1 + inxS

Combine like terms: -1inxS + inxS = 0
2cinosx2S + -2cosx + 0 = -1 + inxS
2cinosx2S + -2cosx = -1 + inxS

Reorder the terms:
1 + 2cinosx2S + -2cosx + -1inxS = -1 + inxS + 1 + -1inxS

Reorder the terms:
1 + 2cinosx2S + -2cosx + -1inxS = -1 + 1 + inxS + -1inxS

Combine like terms: -1 + 1 = 0
1 + 2cinosx2S + -2cosx + -1inxS = 0 + inxS + -1inxS
1 + 2cinosx2S + -2cosx + -1inxS = inxS + -1inxS

Combine like terms: inxS + -1inxS = 0
1 + 2cinosx2S + -2cosx + -1inxS = 0

The solution to this equation could not be determined.

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