The reciprocal trigonometric ratios

The reciprocal trigonometric ratios
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  • Welcome to our last episode of trigonometry, for now, in Math Attic. I am your host Daniel,  and today we are going to talk about the trigonometric reciprocals.
  • Trigonometric ratios
  • This is the reciprocals of the functions.
  • Sin= opp/hyp  Csc= Hyp/opp
  • Cos= adj/hyp  Sec= Hyp/adj
  • Tan= opp/adj  Cot= adj/opp
  • 3
  • 4
  • 5
  • E
  • Find all of the trigonometric ratios for angle E
  • That is how you find reciprocals
  • Sin= opp/hyp = 3/5  Csc= Hyp/opp = 5/3
  • Cos= adj/hyp = 4/5  Sec= Hyp/adj = 5/4
  • Tan= opp/adj  = 3/4 Cot= adj/opp = 4/3
  • Find all the trigonometric ratios of E. Also find a.
  • You can also find the other ratios using a reciprocal. Cot 8/10
  • 5
  • a
  • ⎷41 
  • E
  • Sin= opp/hyp = 5/⎷41  Csc= Hyp/opp = ⎷41/5
  • That is the way to do it.
  • Tan= opp/adj  = 5/4 Cot= adj/opp = 4/5
  • Tan= opp/adj  = 5/a Cot= adj/opp = a/5
  • Cos= adj/hyp = a/⎷41   Sec= Hyp/adj = ⎷41 /a
  • Cos= adj/hyp = 4/⎷41   Sec= Hyp/adj = ⎷41 /4
  • Cot: 8/10 a/5=8/10 a/5=4/5 a=4
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