Lesson 12.3
Graphs of the Tangent
and Cotangent Functions
Precalculus
Capstone Project
Science, Technology, Engineering, and Mathematics
,Think of the shadow of a
pole at different times of
the day. Due to the
Earth’s rotation, the
angle of elevation of the
sun changes, making the
length of the shadow of
the pole change.
2
,The graphs of tangent and cotangent functions can be used
to model this situation.
In this lesson, we will discover the properties of the graphs
of tangent and cotangent functions, and how they relate to
the graphs of other circular functions.
3
, Learning Competencies
At the end of the lesson, you should be able to do the following:
● Determine the domain and range of the
tangent and cotangent functions
(STEM_PC11T-IIc-1).
4
Graphs of the Tangent
and Cotangent Functions
Precalculus
Capstone Project
Science, Technology, Engineering, and Mathematics
,Think of the shadow of a
pole at different times of
the day. Due to the
Earth’s rotation, the
angle of elevation of the
sun changes, making the
length of the shadow of
the pole change.
2
,The graphs of tangent and cotangent functions can be used
to model this situation.
In this lesson, we will discover the properties of the graphs
of tangent and cotangent functions, and how they relate to
the graphs of other circular functions.
3
, Learning Competencies
At the end of the lesson, you should be able to do the following:
● Determine the domain and range of the
tangent and cotangent functions
(STEM_PC11T-IIc-1).
4
