How do you simplify the expression #(sin^3t+cos^3t)/(1-sintcost)#?
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To simplify the expression ( \frac{\sin^3 t + \cos^3 t}{1 - \sin t \cos t} ), use the trigonometric identity ( \sin^3 t + \cos^3 t = (\sin t + \cos t)(1 - \sin t \cos t) ).
Substitute this identity into the expression:
( \frac{(\sin t + \cos t)(1 - \sin t \cos t)}{1 - \sin t \cos t} )
Now, cancel out the common factor ( 1 - \sin t \cos t ):
( \sin t + \cos t )
So, the simplified expression is ( \sin t + \cos 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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