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36 votes
Reciprocal trig functions?sinθ= 12/13cosθ= -5/13tanθ=-12/5need to find csc, sec, cot

User Mark Korzhov
by
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1 Answer

26 votes
26 votes

Take into account that when you have the inverse of a fraction, say, the inverse of a/b, then, you have:

1/(a/b) = b/a

that is, the inverse of a fraction is the fraction inverted.

· csc θ = 1/sinθ

if sin θ = 12/13, then:

csc θ = 1/(12/13) = 13/12

· sec θ = 1/cosθ

if cos θ = -5/13, then:

sec θ = 1/(-5/13) = -13/5

· cot θ = 1/tanθ

if tanθ = -12/5, then:

cot θ = 1/(-12/5) = -5/12

User Nate Sauber
by
2.9k points
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