Question

prove that sin/1-cos=cosec + cot​

Answer 1

Solution :-

$=> \frac{sin}{1-cos} = cosec + cot \\=> \frac{sin}{1-cos} = \frac{1}{sin} + \frac{cos}{sin} \\=> \frac{sin}{1-cos} = \frac{1 + cos}{sin}\\=> sin^{2} = ( 1 - cos ) ( 1 + cos )\\=> sin^2 = 1 - cos^2 \\=> sin ^2 + cos ^2 = 1 \\hence \ proved$