Question

find the following
sec(-14pi/3)

Answer 1

Are you looking for an angle, or exact value?

Answer 2

the value like if its \[\frac{ \sqrt{3} }{ 2 }or \frac{ 1 }{ 2} \]

Answer 3

positive or negative

Answer 4

but im not really sure how to do this one because its sec

Answer 5

sec is just 1/cos

Answer 6

and that value is -1/2

Answer 7

ok can you show it step by step please

Answer 8

sure

Answer 9

Do you know how to convert radians to degrees?

Answer 10

yes but i know that it lies in quadrant 3

Answer 11

Yes, so if you would convert (-14pi/3) to degrees--> (-840 degree), you can find exactly what value it is.

Answer 12

wait i jus did it and i got positive 2

Answer 13

It turns out to be 240 degrees

Answer 14

its -2

Answer 15

since it's in the third quadrant, it must be negative.

Answer 16

oh yea sin and cos are both negative in quadrant 3 right?

Answer 17

yea

Answer 18

ok thank you so much