Prove that :
Question 1 :
[tex]\frac{cos\theta - sin^2\theta +1}{sin \theta(1+cos \theta )} = cot \theta[/tex]

Question 2:
[tex]\frac{tan\theta +sin \theta}{tan\theta - sin\theta} =\frac{sec\theta +1 }{sec \theta -1}[/tex]