Trigonometric Functions and Their Applications
Section 4.7
Sin (
Θ
)
Trig Function
Inverse Function
y = sin
Θ
y = sin
-1
Θ
y = arcsin
Θ
Interchange the domain and the range
1
90˚
90˚
-1
1
-1
-90˚
-90˚
Cos (
Θ
)
Trig Function
Inverse Function
y = cos
Θ
y = cos
-1
Θ
y = arccos
Θ
Interchange the domain and the range
1
180˚
90˚
90˚
-1 180˚
-1
1
Tan (
Θ
)
Trig Function
Inverse Function
y = tan
Θ
y = tan
-1
Θ
y = arctan
Θ
Interchange the domain and the range
-90
˚
90
˚
90˚
-90˚
Classwork:
Pg 349 # 1-17 odd, 37, 39, 43-53
Section 4.8 Applications
Pg 359 # 1, 3, 5, 15, 17, 19
Home work
Pg 349 # 19-33 odd
Pg 359 # 2, 4, 6, 16, 18, 20-22
This content covers the sine, cosine, and tangent trigonometric functions, their inverses, and applications in mathematics. Explore how to interchange their domains and ranges, and find classwork and homework assignments related to these topics.
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Presentation Transcript
Sin () Trig Function y = sin Inverse Function y = sin-1 y = arcsin Interchange the domain and the range 1 90 90 -1 1 -1 -90 -90
Cos () Trig Function y = cos Inverse Function y = cos-1 y = arccos Interchange the domain and the range 1 180 90 90 -1 180 -1 1
Tan () Trig Function y = tan Inverse Function y = tan-1 y = arctan Interchange the domain and the range -90 90 90 -90
Classwork: Pg 349 # 1-17 odd, 37, 39, 43-53
Section 4.8 Applications Pg 359 # 1, 3, 5, 15, 17, 19
Home work Pg 349 # 19-33 odd Pg 359 # 2, 4, 6, 16, 18, 20-22
