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How do you find the value of #sec (-330)#?

Answer 1

Find #sec (-330^@)#

Ans: #(2sqrt3)/3#

sec (-330) = 1/(cos (-330). First, find cos (-330). cos (-330) = cos (30 - 360) = #cos 30^@# = sqrt3/2. (Trig Table) Therefor, #sec (-330) = 1/(cos (30)) = 2/sqrt3 = (2sqrt3)/3#

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Answer 2

Emery Adkins

To find the value of sec(-330 degrees), we can use the fact that the secant function is periodic with a period of 360 degrees. Therefore, we can find an equivalent angle within one period.

Since -330 degrees is equivalent to -330 + 360 = 30 degrees, we can find the value of sec(30 degrees).

The secant function is defined as the reciprocal of the cosine function. So, sec(30 degrees) = 1 / cos(30 degrees).

Using the unit circle or trigonometric identities, we can find that cos(30 degrees) = √3 / 2.

Therefore, sec(30 degrees) = 1 / ( √3 / 2 ) = 2 / √3.

To rationalize the denominator, we multiply both the numerator and denominator by √3:

sec(30 degrees) = (2√3) / ( √3 * √3 ) = 2√3 / 3.

So, the value of sec(-330 degrees) is 2√3 / 3.

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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.