Assorted Trig Topics Accelerated Math 3.

Slides:



Advertisements
Similar presentations
Angles of Rotation and Radian Measure In the last section, we looked at angles that were acute. In this section, we will look at angles of rotation whose.
Advertisements

Objectives: 1.Be able to draw an angle in standard position and find the positive and negative rotations. 2.Be able to convert degrees into radians and.
Quiz 1) Find a coterminal angle to 2) Find a supplement to 3) What is the arcsin(.325) in both radians and degrees?
5.3 Trigonometric Functions of Any Angle Tues Oct 28 Do Now Find the 6 trigonometric values for 60 degrees.
WARM UP 1. What do complementary angles add to? 2. What do supplementary angles add to? 3. Find a the complementary angle and supplementary angle to 60.
WARM UP 1. What do complementary angles add to? 2. What do supplementary angles add to? 3. Find a the complementary angle and supplementary angle to 60.
Angles and Their Measure Section Angles Vertex Initial Side Terminal Side.
Section 4.1.  Trigonometry: the measurement of angles  Standard Position: Angles whose initial side is on the positive x-axis 90 º terminal 180 º 0º.
Section5.1 Angles and Their Measure. Angles Measuring Angles Using Degrees.
Chapter 4-1 Radian and Degree Measure Advanced Math Notes Date:_______________.
Section 1.6 Pairs of Angles
2.3 Complementary and Supplementary Angles
Introduction to Trigonometry Angles and Radians (MA3A2): Define an understand angles measured in degrees and radians.
Geometry Section 1.6 Special Angle Pairs. Two angles are adjacent angles if Two angles are vertical angles if.
2-4 Special Pairs of Angles Objectives -Supplementary Angles Complementary Angles -Vertical angles.
Section 1-6 Angle Pair Relationships. Vertical angles Formed when two lines intersect. Vertical Angles are Congruent. 1 2.
- is a flat surface that extends in all directions. Objective - To identify angles as vertical, adjacent, complementary and supplementary. Plane.
Honors Geometry Section 1.3 part2 Special Angle Pairs.
1 Section T1- Angles and Their Measure In this section, we will study the following topics: Terminology used to describe angles Degree measure of an angle.
13.2 Angles of Rotation and Radian Measure
Reference Angles. What is a Reference Angle? For any given angle, its reference angle is an acute version of that angle The values for the Trig. Functions.
Radian and Degree Measure. Radian Measure A radian is the measure of a central angle that intercepts an arc length equal to the radius of the circle Radians.
2.4: Special Pairs of Angles
Classifying Angles. Vocabulary Acute Angle – an angle that is less than 90 o Obtuse Angle - an angle that measures between 90 o and 180 o Right Angle.
Pre-AP Pre-Calculus Chapter 4, Section 3 Trigonometry Extended: The Circular Functions
Vocabulary Origin & Quadrants Vertex Right, Acute, & Obtuse Complementary & Supplementary Central & Inscribed Angles Arc.
Section 4.1.  Trigonometry: the measurement of angles  Standard Position: Angles whose initial side is on the positive x-axis 90 º terminal 180 º 0º.
Introduction to Trigonometry Angles and Radians (MA3A2): Define an understand angles measured in degrees and radians.
2-4 Special Pairs of Angles. A) Terms 1) Complementary angles – a) Two angles whose sum is 90° b) The angles do not have to be adjacent. c) Each angle.
Reference Angles and Trigonometric Functions of Any Angle Accelerated Pre-Calculus.
Pre-Calculus Unit #4: Day 3.  Coterminal angles are angles in standard position (angles with the initial side on the positive x-axis) that have a common.
Precalculus Functions & Graphs 5.1 Angles Initial Side Terminal Side Math Illustrations Link We say an angle is in whatever Quadrant the terminal side.
6.3 Trig Functions of Angles
Measurement of Rotation
Warm Up Find the measure of the supplement for each given angle.
Degrees and Radians Pre-Calculus Keeper 11.
4.1(b) Notes: Radians and Degrees
Math Angles Note 1 Definition: An angle is created when a half-ray (initial side) is rotated around a point (the vertex) and stops at a new.
Coterminal Angles.
9.3B Notes: Angle conversions
Chapter 1 Trigonometric Functions.
Two angles in standard position that share the same terminal side.
LADIES AND GENTLEMEN, IT IS NOW THE TIME YOU HAVE BEEN WAITING FOR: TRIGONOMETRY.
Section 4.3: Trigonometry Extended – The Circular Functions
Radian and Degree Measure
6.3 Angles and Radian Measure
Lesson _______ Section 4
Students, Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA. Use your notes if necessary. Simplify.
Types of Angles & Their Relationships
Types of Angles.
TRIGONOMETRIC FUNCTIONS OF ANY ANGLE
Unit Circle 1 (0,0) Center: Radius: -1.
Warm Up Give radian measure for each: 90º b) 120º c) 135º
Angles and Their Measures
6.3 / Radian Measure and the Unit Circle
Section T1- Angles and Their Measure
Measuring and Classifying Angles
Chapter 2 Section 4 Special Angle Pairs Special Angle Pair #1:
Reference and Coterminal Angles
Warm Up Give radian measure for each: 90º b) 120º c) 135º
Students, Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA. Use your notes if necessary. 3) Write the degree.
Writing Equations to Find Missing Angles
Special Pairs of Angles
Trigonometry Extended: The Circular Functions
ANGLES & ANGLE MEASURES
Writing Equations to Find Missing Angles
Adjacent Angles Definition Two coplanar angles with a common side, a common vertex, and no common interior points. Sketch.
Do Now Classify the following angles as obtuse, right, straight, or acute
5-3 The Unit Circle.
Angles.
Presentation transcript:

Assorted Trig Topics Accelerated Math 3

Coterminal Angles Angles which have the same initial (starting) and terminal (ending) sides. To find coterminal angles, think about going around the Unit Circle…. Ex. Find a coterminal angle for 90º

Ex. Find two coterminal angles, 1 pos. and 1 neg. for the given angle. b) θ =

Complementary: Supplementary: Two positive angles whose sum is 90º

Ex. Find…. 2. a) Complement to 65º b) Supplement to 188º c) Complement to d) Complement to

Reference angle: The acute angle formed by the terminal side of and the horizontal axis.

3. Determine the reference angle for each of the following angles.