Question

For \[\frac{dy}{dx}=-\frac{\sin x}{1+\cos y}\], which restriction on \[y\] is required?

Options

• \[y\ne2n\pi\]

• \[y\ne(2n+1)\pi\]

• \[y\ne\frac{(2n+1)\pi}{2}\]

• \[y\ne n\pi\]

Answer 1

The denominator is \[1+\cos y\], which must not equal zero. Since \[\cos y=-1\] when \[y=(2n+1)\pi\], these values are excluded.