(1)cos(a) = 2sin(a), tan(a) = 1/2.
(2) 12/5 = sin(a)cos(a) + 2,
sin(2a) = 2sin(a)cos(a) = 24/5 - 4 = 4/5.
0 < a < PI/4,
0 < 2a < PI/2. cos(2a) >0,
cos(2a) = 3/5.
sin(2a + PI/4) =sin(2a)cos(PI/4) + cos(2a)sin(PI/4) = (4/5)[1/2^(1/2)] + (3/5)[1/2^(1/2)]
= (7/5)[1/2^(1/2)]
= 7*2^(1/2)/10
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