# How do you simplify the expression #cos^2A(sec^2A-1)#?

with exclusion

Take note of this:

Thus, we discover:

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To simplify the expression cos^2(A)(sec^2(A) - 1), first recall the trigonometric identity:

sec^2(A) - 1 = tan^2(A)

Now substitute this identity into the expression:

cos^2(A)(tan^2(A))

Then, recognize the identity:

tan^2(A) = sec^2(A) - 1

Substitute this identity into the expression:

cos^2(A)(sec^2(A) - 1) = cos^2(A)(sec^2(A) - 1) = cos^2(A)tan^2(A)

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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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