Question

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

Answer:

cosec theeta ×√(1-cos^2theeta)

=cosec theeta×√sin^2theeta

=cosec theeta ×sin the eta

=1/sin theeta×sin theeta

=1=RHS

Answer 2

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