Question

prove that

$cosec \: theta \sqrt{1 - {cos \: theta}^{2} } = 1 \: prove \: that.$

Answer 1

$cosec \theta \sqrt{1 - {cos}^{2} \theta} \\ = cosec \theta \sqrt{ {sin}^{2} \theta } \\ = cosec \theta \: sin \theta \\ = 1$