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Hint
This is a straight forward question. First write the conjugate vector conjugate to the given vector. Call given vector as \(| A\rangle\), i.e.
\begin{equation} | A\rangle = \cos x | \uparrow \rangle + \exp(-i\phi)\sin x | \downarrow\rangle \end{equation}
Therefore we will have
\begin{equation}\langle A| = \cos x \langle \uparrow |+ \exp(-i\phi)\sin x \langle \downarrow|\end{equation}
now take the scalar product with the ket vectors in different options.
Answer
There is an error in the options. No option is correct.
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