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The Nyquist filter has impulse response given by
$$h(t) = \frac{\sin \left( \frac{\pi t}{T}\right)}{\left(\frac {\pi t}{T}\right)}$$
$$h(t) = \frac {1}{2} \left(\frac{\sin (\pi t)}{(\pi t)}\right)$$
$$h(t) = \frac{\sin \left({\pi t}\right)}{\left(\frac {\pi t}{T}\right)}$$
$$h(t) = \frac{\cos \left({\pi t}\right)}{\left(\frac {\pi t}{T}\right)}$$
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