How do you simplify the expression #sint-sintcos^2t#?
So we find:
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To simplify the expression (\sin{t} - \sin{t}\cos^2{t}), we can factor out the common factor of (\sin{t}) from both terms:
[\sin{t}(1 - \cos^2{t})]
Using the Pythagorean identity (\sin^2{t} + \cos^2{t} = 1), we can rewrite (1 - \cos^2{t}) as (\sin^2{t}):
[\sin{t}(\sin^2{t})]
Now, we can simplify further by multiplying:
[\sin^3{t}]
Therefore, the simplified expression is (\sin^3{t}).
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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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