# How do you verify the identity #cot^2thetacsc^2theta-cot^2theta=cot^4theta#?

See the Explanation.

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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.

- How do you simplify #cot(x+y)+cos(4x-y)# to trigonometric functions of x and y?
- How do you solve #arcsin(sqrt(2x))=arccos(sqrtx)#?
- Given #cottheta=-12/5# and #270<theta<360#, how do you find #csc (theta/2)#?
- How do you prove #\frac { \cos A + \sin A } { \cos A - \sin A } = \tan ( 45^ { \circ } + A )#?
- How do you prove the identity #1 / (1- cosx) + 1/ (1+ cosx) = 2 csc^2x#?

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