# How do you solve the identity #(sec(t)+1)(sec(t)-1)=tan^2(t)#?

You can prove this identity by using the definition of secant and tangent and by using the Pythagorean identity.

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To solve the identity ((\sec(t) + 1)(\sec(t) - 1) = \tan^2(t)), expand the left side and simplify:

((\sec(t) + 1)(\sec(t) - 1) = \sec^2(t) - 1 = \tan^2(t))

This follows from the trigonometric identity (\sec^2(t) - 1 = \tan^2(t)). So, the identity ((\sec(t) + 1)(\sec(t) - 1) = \tan^2(t)) is proven.

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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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