# How do you simplify #(2-sec^2x)/(sec^2x)#?

First, split the fraction.

Observe the following:

Therefore,

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It simplifies to

Use these identites:

First, split the fraction:

Hope this helped!

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To simplify the expression (2 - sec^2x) / sec^2x, you can start by factoring out a common factor from the numerator:

2 - sec^2x = 2 - (1/cos^2x) = (2cos^2x - 1)/cos^2x

Then, rewrite the original expression with the factored form:

(2cos^2x - 1)/cos^2x / sec^2x

Next, remember that sec^2x is equal to 1/cos^2x. So, you can rewrite sec^2x as 1/cos^2x in the denominator:

(2cos^2x - 1)/cos^2x / (1/cos^2x)

Now, when you divide by a fraction, you can multiply by its reciprocal. So, rewrite the expression as multiplication by the reciprocal of the denominator:

(2cos^2x - 1)/cos^2x * (cos^2x/1)

Now, you can cancel out the common terms:

(2cos^2x - 1)/(1) = 2cos^2x - 1

So, the simplified expression is 2cos^2x - 1.

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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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