SOLUTION: sin theta=1/2 and tan theta=-square root of 3 over 3, find sec theta

Algebra ->  Trigonometry-basics -> SOLUTION: sin theta=1/2 and tan theta=-square root of 3 over 3, find sec theta      Log On


   



Question 593604: sin theta=1/2 and tan theta=-square root of 3 over 3, find sec theta
Answer by danarusu(2) About Me  (Show Source):
You can put this solution on YOUR website!
What we know:

(I): tan%28theta%29+=+sin%28theta%29%2Fcos%28theta%29
(II): tan%28theta%29+=+-sqrt%283%29%2F3
(III): sin%28theta%29+=+1%2F2
(IV): cos%28theta%29%2Asec%28theta%29+=+1


-------------------------------------------


From (I)+(II)+(III) => cos%28theta%29+=+-sqrt%283%29%2F2 (**)


From(**)+(IV) => sec%28theta%29+=+-2%2Asqrt%283%29%2F3