Question

If Sin(π cot theta) = cos(π tan theta), then​

Answer 1

$\sin(\pi \cot \alpha ) = \cos( \pi \: tan\alpha ) \\ sin \times \frac{ \pi \: cos \alpha }{sin \alpha } = cos \times \frac{\pi \: sin \alpha }{ \cos \alpha} \\ \pi \: cos \alpha = \pi \: sin \alpha \\ sin \alpha = cos \alpha$