# Prove the identity #(1/sinx - 1/tanx)^2 -= (1-cosx)/(1+cosx).# ?

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Prove the identity #(1/sinx - 1/tanx)^2 -= (1-cosx)/(1+cosx).#

Prove the identity

I would start with the left hand side, by rewriting in terms of sine and cosine.

LHS:

Recall that

Now do a little factoring.

We now see that LHS = RHS, therefore we've proven this identity.

Hopefully this helps!

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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