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The Fourier series of a real periodic function has only

1. cosine terms if it is even
2. sine terms if it is even
3. cosine terms if it is odd
4. sine terms if it is odd

Which of the above statements are correct?

1. $\mathrm{P}$ and $\mathrm{S}$
2. $\mathrm{P}$ and $\mathrm{R}$
3. $\mathrm{Q}$ and $\mathrm{S}$
4. $\mathrm{Q}$ and $\mathrm{R}$