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What is the exact value of #sin -330#?

Answer 1

Carter Anderson

It's 0,1323816292

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Answer 2

Caroline Adams

The exact value of ( \sin(-330^\circ) ) can be found by using the periodicity and symmetry properties of the sine function. Since the sine function has a period of ( 360^\circ ), we can find the equivalent angle within one period that has the same sine value.

[ \sin(-330^\circ) = \sin(-330^\circ + 360^\circ) ]

[ \sin(-330^\circ + 360^\circ) = \sin(30^\circ) ]

Using the unit circle or known values of trigonometric functions, we find that ( \sin(30^\circ) = \frac{1}{2} ).

So, the exact value of ( \sin(-330^\circ) ) is ( \frac{1}{2} ).

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Answer from HIX Tutor

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.