PROVING IDENTITIES !!!

Question

anonymous · Answer

$$\frac{ 1-\sin x }{ \cos x } = \frac{ \cos x  }{ 1 + \sin x}$$

anonymous · Answer

Cross multiply them out first and see if you get a more suitable form to work with.

anonymous · Answer

i am supposed to prove that the expression on the left hand side is equal to the expression in the right hand side....

anonymous · Answer

Not sure if I completely agree with this, I would assume that you're supposed to _verify_ that the left hand side is equal to the right hand side. Because a full proof of the above identity would require to start at any point on the left hand side.

However, you want to show that the LHS=RHS, so in that case, as I mentioned before, cross multiply the both sides out:
$$\Large (1-\sin x)(1+\sin x)=\cos^2x $$

sumeer · Answer

my approach is same but it may work. multiply left handside (1+sinx)cosx/(1+sinx)Icosx. than u get right hand side