How do you simplify # [1-cos(80°)] / [1+cos(80)]#?
tan^2 40
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To simplify ( \frac{1 - \cos(80^\circ)}{1 + \cos(80^\circ)} ), you can use the trigonometric identity:
[ \cos(\theta) = -\cos(180^\circ - \theta) ]
So, ( \cos(80^\circ) = -\cos(180^\circ - 80^\circ) = -\cos(100^\circ) ).
Now, substitute ( -\cos(100^\circ) ) into the expression:
[ \frac{1 - (-\cos(100^\circ))}{1 + (-\cos(100^\circ))} ]
Simplify the expression:
[ \frac{1 + \cos(100^\circ)}{1 - \cos(100^\circ)} ]
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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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