# Given #cosalpha=1/3#, how do you find #sin(90^circ-alpha)#?

From the sketch:

The key is the right-angled triangle.

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sin(90° - α) = √(1 - cos²α) = √(1 - (1/3)²) = √(1 - 1/9) = √(8/9) = √8/3

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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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