How do you evaluate #tan(arcsin(1/3)) #?
Recall that
Then,
Then,
Thus,
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To evaluate ( \tan(\arcsin(1/3)) ), first find the angle whose sine is ( \frac{1}{3} ) using the inverse sine function (arcsin). Then, evaluate the tangent of that angle.

Use the inverse sine function to find the angle: [ \arcsin\left(\frac{1}{3}\right) ]

Once you find the angle, use it to evaluate the tangent function: [ \tan\left(\arcsin\left(\frac{1}{3}\right)\right) ]
This process involves finding the angle whose sine is ( \frac{1}{3} ), and then finding the tangent of that angle.
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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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