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Reciprocal trig functions
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The functionsΒ βsecx,Β Β βcosecxβΒ andΒ βcotx,Β domain, range & graphs
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Reciprocal Trig Ratios
AHL 3.9
The reciprocal trig functions are functions of the formΒ βf(x)1β,Β whereΒ βfβΒ isΒ βsin,cosβΒ orΒ βtan.Β The three reciprocal trig functions are:
β
secΞΈΒ cosecΞΈΒ cotΞΈβ=cosΞΈ1βπΒ =sinΞΈ1βπΒ =tanΞΈ1βπβ
βGraph & domain & range of sec(x)
AHL 3.9
βsecxβ
Domain:Β βxξ =2(2k+1)Οβ=Β±2Οβ,Β±23Οββ¦β
Range:Β βsecxβ€β1βΒ orΒ βsecxβ₯1.
Graph & domain & range of cosec(x)
AHL 3.9
βcosecxβ
Domain:Β βxξ =kΟ=0,Β±Ο,Β±2Οβ¦β
Range:Β βcosecxβ€β1βΒ orΒ βcosecxβ₯1.
Graph & domain & range of cot(x)
AHL 3.9
βcotxβ
Domain:Β βxξ =kΟ=0,Β±Ο,Β±2Οβ¦β
Range:Β βcotxβR.
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