frandolynywNeoman frandolynywNeoman
  • 24-11-2016
  • Mathematics
contestada

find csc 0 if tan 0= 3/4.

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HomertheGenius
HomertheGenius HomertheGenius
  • 25-11-2016
tan t ( theta ) = 3/4
sin t / cos t = 3/4
3 cos t = 4 sin t
cos t = 4 sin t/3
sin² t + cos² t = 1
sin² t + ( 4 sin t / 3 )² = 1
sin² t + 16 sin² t / 9 = 1    / * 9
9 sin² t + 16 sin² t = 9
25 sin² t = 9
sin² t = 9/25
sin t = 3/5
csc t = 1 / sin t
csc t = 1 : 3/5
Answer:
csc t = 5 / 3 
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