Mackadoodle7261
Mackadoodle7261 Mackadoodle7261
  • 01-05-2019
  • Mathematics
contestada

Find the exact value of sec 120°.

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carlosego
carlosego carlosego
  • 10-05-2019

For this case we have that by definition:

[tex]Sec (a) = \frac {1} {cos (a)}[/tex]

Then, we can rewrite the expression as:

[tex]Sec (120) = \frac {1} {cos (120)}[/tex]

[tex]cos (120) = cos (180-60) = - cos (60) = - \frac {1} {2}[/tex]

So:

[tex]Sec (120) = \frac {1} {- \frac {1} {2}}\\Sec (120) = - 2[/tex]

Answer:

-2

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Dolphinlover021
Dolphinlover021 Dolphinlover021
  • 18-05-2022

Answer: The exact value of 120° = -2

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