I put two problems on the board for students to practice in Accelerated III Tuesday. I can't remember what questions I asked, so here's a whole bunch of answers.
For the problem on top:
sin(a+b) = -63/65
sin(a-b) = 33/65
cos(a+b) = -16/65
cos(a-b) = 56/65
sin(2a) = -24/25
sin(2b) = -120/169
cos(2a) = 7/25
cos(2b) = -119/169
For the problem on bottom, in the same order:
(3+4 root 3)/10
(3-4 root 3)/10
(3 root 3 - 4)/10
(3 root 3 + 4)/10
(root 3)/2
24/25
1/2
-7/25
I may have made a mistake somewhere (I'm sitting in an impressive Robotics Club meeting).
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