# How do you use #sintheta=1/3# to find #tantheta#?

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You can use the relationship between sine and tangent to find (\tan(\theta)) using the given value of (\sin(\theta)). First, recognize that (\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}). Since (\sin(\theta) = \frac{1}{3}), you need to find (\cos(\theta)) to compute (\tan(\theta)). To find (\cos(\theta)), use the Pythagorean identity: (\sin^2(\theta) + \cos^2(\theta) = 1). Substitute (\sin(\theta) = \frac{1}{3}) into this equation and solve for (\cos(\theta)). Once you have (\cos(\theta)), you can compute (\tan(\theta)) using the formula (\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}).

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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.

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