MAT129 Fall 2025 Notes
mathnstuff.com/math/precalc/MAT129fa25/p.14.htm
© 2025   A2, Agnes Azzolino
Trigonometric Functions of any angle, Text 7.3 , PG. 604 or go on to page 15
The Sine and Cosine Functions As They
Grow & Decrease in Each Quadrant

Welcome to Precalc!

Trig Functions of All Angles
   
Hi,
    On page 12 angles were introduced. 
    On page 13 trig functions of angles , their vertical components
(sine) and horizontal components (cosine) were introduced.
Their tangent and reciprocal functions were also introuced.
    Here, on page 14, new functions, often considered angle functions
or trig functions are considered.
    The next pages address the composition [See composition Sketchpad
of these function , their inverse and their uses
are considered and also trig identities
or true statements are addressed.
    But first, we will
* continue with new material in lab/quiz form
* do this with old material extended
* go back and review new material in class/lecture form
* continue on with more trig in video and lecture and connect-the-dots formats
T10/21, W10/22 is 14 Trigonometric Functions of any angle, Textbook 7.3 , PG. 604
F10/24 is 13.5 Q5 - Write, graph trig functions and those like f(x)= Asin(Bx - C) + D
------ Like Section 7.5 on F9/26
Th10/23, M10/27 is 14 Trigonometric Functions of any angle, Textbook 7.3 , PG. 604
T10/28, W10/29 is 15 Trigonometric Functions of any angle
& THEIR GRAPHS, Textbook 7.3 , PG. 604
Th10/30, M11/3 is 16 Graphs of Trigonometric Functions
& f(x)= Asin(Bx - C) + D,
Textbook 8.1,8.2 , PG. 642, 659
------ Like Q5 on F10/24
    This means, Do page 13, then go to 14,
then go to 13.5 and do Quiz5, then go back and review/complete page 14,
then go on to page 15.
    Contact me through the pink box on www.mathnstuff.com/math/math.htm
or with the phone number on your class CANVAS home page.
    Stay safe, A2
Notes from last class:
p.13.a.gif, blank trig functions of he 30s,45s, 60s
p.13.g.gif, answers trig functions of he 30s,45s, 60s
p.13.b.gif, OSCAR connect the dots
p.13.c.gif, angle & side connect the dots
p.13.d.gif, trig function definitions
p.13.e.gif, special angles, similar figure computation
p.13.f.gif, blank trig functions of he 30s,45s, 60s (duplicate)
p.13.g.gif, trig functions of he 30s,45s, 60s ANSWERS

7.3 - pg 604, Learning Objectives
* Find function values for the sine and cosine of 30° (pi/6), 45° (pi/4), and 60° (pi/3).
* Identify the domain and range of sine and cosine functions.
* Find reference angles.
* Use reference angles to evaluate trigonometric functions.
 
Three Trig Planes Graph Paper
3 trig planes w/table also p.14.b.gif
functions of the quadrantals
1 black tiny trig plane
1 tiny trig plane w/o y-scale
tiny aligned sine, cosine, tangent planes