Download presentation
Presentation is loading. Please wait.
1
Day 49 Agenda: DG minutes
2
Unit #6: Graphs and Inverses of Trig Functions
Accel Precalc Unit #6: Graphs and Inverses of Trig Functions Lesson 1: The Unit Circle EQ: How is the unit circle used to evaluate the exact values for the six trig functions?
3
Recall: Given a circle whose center is at the origin and radius is 1. Write the equation of this circle. This circle is called the Unit Circle.
4
The Unit Circle has 48 missing parts
The Unit Circle has 48 missing parts. You are going to learn ALL OF THEM!!!
5
I. Angles on the Axes (0, 1) Place the degree measures of the angles on each axis. 90⁰ Place the radian measure of the angles on each axis. (-1, 0) 180⁰ 0⁰ (1, 0) 360⁰ State the coordinates of the points at each angle. 270⁰ (0, -1)
6
Recall: What is the relationship between the legs and the hypotenuse of a 45 - 45 - 90 triangle? But on the Unit Circle the radius is the hypotenuse and it is 1. How can I make the hypotenuse of this right triangle equal 1?
7
Place the degree measures at each angle.
Reference Angle of 45 Place the degree measures at each angle. 135⁰ 45⁰ Place the radian measure at each axis. State the coordinates of the points at each angle. 225⁰ 315⁰
8
Recall: What is the relationship between the legs and the hypotenuse of a 30- 60- 90 triangle? Again, on the Unit Circle the radius is the hypotenuse and it is 1. How can I make the hypotenuse of this right triangle equal 1?
9
Place the degree measures at each angle.
Reference Angle of 30. Place the degree measures at each angle. 30⁰ 150⁰ Place the radian measure at each axis. 330⁰ 210⁰ State the coordinates of the points at each angle.
10
Place the degree measures at each angle.
II. Reference Angle of 60. Place the degree measures at each angle. 120⁰ 60⁰ Place the radian measure at each axis. State the coordinates of the points at each angle. 240⁰ 300⁰
11
And that, ladies and gentlemen is your Unit Circle!!
12
Evaluate the 6 Trig Functions at the given θ.
13
°
17
***QUIZ on Unit Circle***
Assignment: Worksheet #1: Exact Values of Angles ***QUIZ on Unit Circle***
18
Today’s AGENDA: QUIZ 9( Unit Circle)--- 6 minutes, NO CALC
Finish Unit 6 Lesson 1 20 minute workday --- Review for Test Unit 5 or Work on WS’s #1 & 2 Begin Unit 6 Lesson 2 Unit 5 Review and key is on the blog.
19
SEPARATE DESKS FOR QUIZ
TIME FOR UNIT CIRCLE QUIZ IS 6 MINUTES. NO CALCULATOR OF ANY KIND.
20
What is the sign of each function in the four quadrants?
+ + - + - + - - - + + - REMEMBER: csc goes as sin goes, sec goes as cos goes, and cot goes as tan goes
21
In which quadrant would occur?
IV I
22
When in Rome, use ROMAN NUMERALS!
II III IV III III IV
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.