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kozerog [31]
4 years ago
7

Find the exact value of sec 120°.

Mathematics
1 answer:
Leto [7]4 years ago
4 0

For this case we have that by definition:

Sec (a) = \frac {1} {cos (a)}

Then, we can rewrite the expression as:

Sec (120) = \frac {1} {cos (120)}

cos (120) = cos (180-60) = - cos (60) = - \frac {1} {2}

So:

Sec (120) = \frac {1} {- \frac {1} {2}}\\Sec (120) = - 2

Answer:

-2

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