SOLUTION: Can someone please help me with this question? Using the x-and y-coordinates from the unit circle, evaluate the sec(pi/3). Answer options are: a.((sqrt.2)/(2)) b.(1/2) c.2 d.

Algebra ->  Circles -> SOLUTION: Can someone please help me with this question? Using the x-and y-coordinates from the unit circle, evaluate the sec(pi/3). Answer options are: a.((sqrt.2)/(2)) b.(1/2) c.2 d.      Log On


   

Question 125458: Can someone please help me with this question?
Using the x-and y-coordinates from the unit circle, evaluate the sec(pi/3).
Answer options are:
a.((sqrt.2)/(2))
b.(1/2)
c.2
d.1
Please try and reply back to me as soon as possible, thank you!!!!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First write sec%28pi%2F3%29 as 1%2Fcos%28pi%2F3%29. Looking at the unit circle, we can see that the angle pi%2F3 (which is 60 degrees), lies on the unit circle at . So this tells us that cos%28pi%2F3%29=1%2F2.


1%2Fcos%28pi%2F3%29 Start with the given expression



1%2F%281%2F2%29 Plug in cos%28pi%2F3%29=1%2F2


%281%2F1%29%2A%282%2F1%29 Multiply the first fraction by the reciprocal of the second fraction


2 Multiply the fractions



So this means that 1%2Fcos%28pi%2F3%29=2 which also means that sec%28pi%2F3%29=2


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Answer:


So sec%28pi%2F3%29=2 which means that the answer is c)