SOLUTION: Suppose that sec(2t)=(-13/12), and that pi/2<t<0. Find the exact value of cos(t)

Algebra ->  Trigonometry-basics -> SOLUTION: Suppose that sec(2t)=(-13/12), and that pi/2<t<0. Find the exact value of cos(t)      Log On


   

Question 100849: Suppose that sec(2t)=(-13/12), and that pi/2 Find the exact value of cos(t)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that sec(2t)=(-13/12), and that pi/2 Find the exact value of cos(t)
------------------------------
sec(2t)=(-13/12)
cos(2t)=(-12/13)
2t = cos^-1(-12/13) = 157.38 degrees
t = 78.69 degrees
----------------
Cheers,
Stan H.