(cotx-1)(2sinx+1)=0

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Solution for (cotx-1)(2sinx+1)=0 equation: 


Simplifying
(cotx + -1)(2sinx + 1) = 0

Reorder the terms:
(-1 + cotx)(2sinx + 1) = 0

Reorder the terms:
(-1 + cotx)(1 + 2insx) = 0

Multiply (-1 + cotx) * (1 + 2insx)
(-1(1 + 2insx) + cotx(1 + 2insx)) = 0
((1 * -1 + 2insx * -1) + cotx(1 + 2insx)) = 0
((-1 + -2insx) + cotx(1 + 2insx)) = 0
(-1 + -2insx + (1 * cotx + 2insx * cotx)) = 0

Reorder the terms:
(-1 + -2insx + (2cinostx2 + 1cotx)) = 0
(-1 + -2insx + (2cinostx2 + 1cotx)) = 0

Reorder the terms:
(-1 + 2cinostx2 + 1cotx + -2insx) = 0
(-1 + 2cinostx2 + 1cotx + -2insx) = 0

Solving
-1 + 2cinostx2 + 1cotx + -2insx = 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 + 2cinostx2 + 1cotx + 1 + -2insx = 0 + 1

Reorder the terms:
-1 + 1 + 2cinostx2 + 1cotx + -2insx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2cinostx2 + 1cotx + -2insx = 0 + 1
2cinostx2 + 1cotx + -2insx = 0 + 1

Combine like terms: 0 + 1 = 1
2cinostx2 + 1cotx + -2insx = 1

Add '2insx' to each side of the equation.
2cinostx2 + 1cotx + -2insx + 2insx = 1 + 2insx

Combine like terms: -2insx + 2insx = 0
2cinostx2 + 1cotx + 0 = 1 + 2insx
2cinostx2 + 1cotx = 1 + 2insx

Reorder the terms:
-1 + 2cinostx2 + 1cotx + -2insx = 1 + 2insx + -1 + -2insx

Reorder the terms:
-1 + 2cinostx2 + 1cotx + -2insx = 1 + -1 + 2insx + -2insx

Combine like terms: 1 + -1 = 0
-1 + 2cinostx2 + 1cotx + -2insx = 0 + 2insx + -2insx
-1 + 2cinostx2 + 1cotx + -2insx = 2insx + -2insx

Combine like terms: 2insx + -2insx = 0
-1 + 2cinostx2 + 1cotx + -2insx = 0

The solution to this equation could not be determined.

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