(1-cosx)*dy+(2ysenx-tanx)*dx=0

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Solution for (1-cosx)*dy+(2ysenx-tanx)*dx=0 equation:


Simplifying
(1 + -1cosx) * dy + (2ysenx + -1tanx) * dx = 0

Reorder the terms for easier multiplication:
dy(1 + -1cosx) + (2ysenx + -1tanx) * dx = 0
(1 * dy + -1cosx * dy) + (2ysenx + -1tanx) * dx = 0

Reorder the terms:
(-1cdosxy + 1dy) + (2ysenx + -1tanx) * dx = 0
(-1cdosxy + 1dy) + (2ysenx + -1tanx) * dx = 0

Reorder the terms:
-1cdosxy + 1dy + (-1antx + 2ensxy) * dx = 0

Reorder the terms for easier multiplication:
-1cdosxy + 1dy + dx(-1antx + 2ensxy) = 0
-1cdosxy + 1dy + (-1antx * dx + 2ensxy * dx) = 0
-1cdosxy + 1dy + (-1adntx2 + 2densx2y) = 0

Reorder the terms:
-1adntx2 + -1cdosxy + 2densx2y + 1dy = 0

Solving
-1adntx2 + -1cdosxy + 2densx2y + 1dy = 0

Solving for variable 'a'.

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

Add 'cdosxy' to each side of the equation.
-1adntx2 + -1cdosxy + 2densx2y + cdosxy + 1dy = 0 + cdosxy

Reorder the terms:
-1adntx2 + -1cdosxy + cdosxy + 2densx2y + 1dy = 0 + cdosxy

Combine like terms: -1cdosxy + cdosxy = 0
-1adntx2 + 0 + 2densx2y + 1dy = 0 + cdosxy
-1adntx2 + 2densx2y + 1dy = 0 + cdosxy
Remove the zero:
-1adntx2 + 2densx2y + 1dy = cdosxy

Add '-2densx2y' to each side of the equation.
-1adntx2 + 2densx2y + -2densx2y + 1dy = cdosxy + -2densx2y

Combine like terms: 2densx2y + -2densx2y = 0
-1adntx2 + 0 + 1dy = cdosxy + -2densx2y
-1adntx2 + 1dy = cdosxy + -2densx2y

Add '-1dy' to each side of the equation.
-1adntx2 + 1dy + -1dy = cdosxy + -2densx2y + -1dy

Combine like terms: 1dy + -1dy = 0
-1adntx2 + 0 = cdosxy + -2densx2y + -1dy
-1adntx2 = cdosxy + -2densx2y + -1dy

Divide each side by '-1dntx2'.
a = -1cn-1ost-1x-1y + 2est-1y + n-1t-1x-2y

Simplifying
a = -1cn-1ost-1x-1y + 2est-1y + n-1t-1x-2y

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