1. Prove the Law of Cosines
    c2 = a2 + b2 - 2ab cosa

  2. Prove the Law of Sines

  3. Show that sin2x + cos2x = 1

  4. Show that sin(x + y) = sinx cosy + cosx siny

  5. Show that sin(x - y) = sinx cosy - cosx siny

  6. Show that cos(x - y) = cosx cosy + sinx siny
  1. Show that sin2x = 2sinx cosx
    cos2x = 2cos2x - 1

  2. Show that tan x/2 = sinx / (1+cosx)
    tan x/2 = (1 - cosx) / sinx

  3. Show that arcsinx + arccosx = p/2

  4. Show that arctanx + arctan(1/x) =p/2

  5. Show that arctan(1/2) + arctan(1/3) = p/4

  6. Show that arctan1 + arctan2 + arctan3 = p



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