lele5nnah9ariams lele5nnah9ariams
  • 21-11-2016
  • Mathematics
contestada

Find sin2A if sinA=1/4 and 0<=A<=(pi/2)

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HomertheGenius
HomertheGenius HomertheGenius
  • 22-11-2016
sin A = 1/4
cos² A = 1 - sin² A
cos² A = 1 - 1/16
cos² A = 15/16
cos A = √15 / 4
-------------------------
sin 2 A = 2 sin A cos A
sin 2 A = 2 · 1/4 · √15 / 4
sin 2 A = √15 / 8
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