How do you use the doubleangle formula to rewrite the expression: #(1/3)cos^2x(1/6)#?
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To rewrite the expression (1/3)cos^2(x)  (1/6) using the doubleangle formula, follow these steps:

Recognize that cos(2x) = 2cos^2(x)  1.

Rearrange the formula to solve for cos^2(x):
cos^2(x) = (1/2)(cos(2x) + 1).

Substitute the expression for cos^2(x) into the original expression:
(1/3)[(1/2)(cos(2x) + 1)]  (1/6).

Simplify the expression:
(1/6)cos(2x) + (1/6)  (1/6).

Combine like terms:
(1/6)cos(2x).
Thus, the expression (1/3)cos^2(x)  (1/6) can be rewritten as (1/6)cos(2x).
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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