How do you factor the expression and use the fundamental identities to simplify #tan^2x-tan^2xsin^2x#?
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To factor the expression ( \tan^2 x - \tan^2 x \sin^2 x ) and simplify it using fundamental identities, we start by factoring out the common factor ( \tan^2 x ). Then, we apply the fundamental identity ( \tan^2 x = \sec^2 x - 1 ) to simplify further. Finally, we use the Pythagorean identity ( \sin^2 x + \cos^2 x = 1 ) to eliminate the ( \sin^2 x ) term.
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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.
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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