# 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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