# Download Reciprocal Functions PPT

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```Graph from 0 to 4Ο:
π
π¦ = 2 sin 2 π₯ +
+2
4
Graph from 0 to 4Ο:
π
π¦ = 3 cos π₯ β
β1
3
Find the exact values of: sin
3π
4
2
=
2
cos
2π
3
1
= β tan
2
5π
3
=β 3
Reciprocal Trigonometric Functions
Todayβs Objective:
I can evaluate and graph reciprocal
trigonometric functions.
y
(x, y)
ΞΈ
cosecant:
csc π =
1
1
=
π¦
sin π
secant:
x
seπ π =
1
1
=
cos π
π₯
1
3π
csc
= 2 = 2
4
2
2π
sec
= β2
3
cotangent:
3
π₯ cot 5π =
1
cos π
β
=
=
cot π =
3
3
π¦
tan π sin π
1
Cosecant Function: π¦ = csc π₯ = sin π₯
Domain:
All real numbers,
except values of Ο.
Range:
y β€ β 1 and y β₯ 1
Period:
2Ο
1
Secant Function: π¦ = sec π₯ =
cos π₯
Domain:
All real numbers,
π
except odd values of
2
Range:
y β€ β 1 and y β₯ 1
Period:
2Ο
1
Cotangent Function: π¦ = cot π₯ =
tan π₯
π
π­ππ§ = π
π
y
π
π­ππ§ = π
π
Domain: All real numbers, except values of π
Range: All real numbers
Period: Ο
π
π
ππ¨π­ =
π
π
π
ππ¨π­ = π
π
π
π
π­ππ§ =
π
π
π
x
ππ¨π­ =
π
Pg. 888
#9-16, 40-51
π
```
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