(cot(x)-1)*(sin(x)-1)=0

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Solution for (cot(x)-1)*(sin(x)-1)=0 equation:


Simplifying
(cot(x) + -1)(sin(x) + -1) = 0

Multiply cot * x
(cotx + -1)(sin(x) + -1) = 0

Reorder the terms:
(-1 + cotx)(sin(x) + -1) = 0

Multiply ins * x
(-1 + cotx)(insx + -1) = 0

Reorder the terms:
(-1 + cotx)(-1 + insx) = 0

Multiply (-1 + cotx) * (-1 + insx)
(-1(-1 + insx) + cotx(-1 + insx)) = 0
((-1 * -1 + insx * -1) + cotx(-1 + insx)) = 0
((1 + -1insx) + cotx(-1 + insx)) = 0
(1 + -1insx + (-1 * cotx + insx * cotx)) = 0

Reorder the terms:
(1 + -1insx + (cinostx2 + -1cotx)) = 0
(1 + -1insx + (cinostx2 + -1cotx)) = 0

Reorder the terms:
(1 + cinostx2 + -1cotx + -1insx) = 0
(1 + cinostx2 + -1cotx + -1insx) = 0

Solving
1 + cinostx2 + -1cotx + -1insx = 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 + cinostx2 + -1cotx + -1 + -1insx = 0 + -1

Reorder the terms:
1 + -1 + cinostx2 + -1cotx + -1insx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + cinostx2 + -1cotx + -1insx = 0 + -1
cinostx2 + -1cotx + -1insx = 0 + -1

Combine like terms: 0 + -1 = -1
cinostx2 + -1cotx + -1insx = -1

Add 'insx' to each side of the equation.
cinostx2 + -1cotx + -1insx + insx = -1 + insx

Combine like terms: -1insx + insx = 0
cinostx2 + -1cotx + 0 = -1 + insx
cinostx2 + -1cotx = -1 + insx

Reorder the terms:
1 + cinostx2 + -1cotx + -1insx = -1 + insx + 1 + -1insx

Reorder the terms:
1 + cinostx2 + -1cotx + -1insx = -1 + 1 + insx + -1insx

Combine like terms: -1 + 1 = 0
1 + cinostx2 + -1cotx + -1insx = 0 + insx + -1insx
1 + cinostx2 + -1cotx + -1insx = insx + -1insx

Combine like terms: insx + -1insx = 0
1 + cinostx2 + -1cotx + -1insx = 0

The solution to this equation could not be determined.

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