SOLUTION: Use the given information to find each value cos t = 5/13 , 0 < t < pi/2 cos 2t= sin 2t = cos t/2 = sin t/2 =

Algebra ->  Trigonometry-basics -> SOLUTION: Use the given information to find each value cos t = 5/13 , 0 < t < pi/2 cos 2t= sin 2t = cos t/2 = sin t/2 =      Log On


   



Question 864414: Use the given information to find each value

cos t = 5/13 , 0 < t < pi/2
cos 2t=
sin 2t =
cos t/2 =
sin t/2 =

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Use the given information to find each value
cos t = 5/13 , 0 < t < pi/2
cos 2t=
sin 2t =
cos t/2 =
sin t/2 =
***
You are working with a (5-12-13) reference right triangle in quadrant I.
sin t =12/13
cos 2t=cos^2t-sin^2t=25/169-144/169=-119/169
sin 2t=2sin t*cos t=2*12/13*5/13=120/169