SOLUTION: Given sin β 5/13 in QII, find the exact value of the following: a. sin(2β) b. cos(2β) c. tan(2β)

Algebra ->  Trigonometry-basics -> SOLUTION: Given sin β 5/13 in QII, find the exact value of the following: a. sin(2β) b. cos(2β) c. tan(2β)      Log On


   

Question 1177771: Given sin β 5/13 in QII, find the exact value of the following:
a. sin(2β)
b. cos(2β)
c. tan(2β)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

sin b = 5/13
cos b = —12/13
tan b = —5/12
sin2b = —120/169
cos 2b = 2 cos^2 b —1 = 288/169 —1 = 119/169
tan 2 b = —5/6 / 1-25/144 = — 120/144 / 119/144
= -120/119