What is the general solution for solvefor x,-sin(xy)y=0 ?

The general solution for solvefor x,-sin(xy)y=0 is x=(2pin)/y ,x= pi/y+(2pin)/y ;\quad y\ne 0

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solvefor x,-sin(xy)y=0

solve for

x, - sin (x y) y = 0

x = \frac{2 πn}{y}, x = \frac{π}{y} + \frac{2 πn}{y}; y \neq = 0

Solution steps

- sin (x y) y = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

sin (x y) = 0

General solutions for

sin (x y) = 0

x y = 0 + 2 πn, x y = π + 2 πn

Solve

x y = 0 + 2 πn : x = \frac{2 πn}{y}; y \neq = 0

Solve

x y = π + 2 πn : x = \frac{π}{y} + \frac{2 πn}{y}; y \neq = 0

x = \frac{2 πn}{y}, x = \frac{π}{y} + \frac{2 πn}{y}; y \neq = 0

\frac{1}{cos ( x )} = \frac{5}{3}

6 cot (θ) + 5 = 0

cos (x) (2 cos (x) - 1) = 0

cot (θ) = \frac{5}{7}

2 cos (x) - 3 sin (x) = 2

What is the general solution for solvefor x,-sin(xy)y=0 ?
The general solution for solvefor x,-sin(xy)y=0 is x=(2pin)/y ,x= pi/y+(2pin)/y ;\quad y\ne 0