Find the amplitude and period for each function.

Slides:

Advertisements

Similar presentations

Ch 6 Review Velocity Unit Circle Conversions (Radians and Degrees) Graphs of the 6 Trig Functions.

Advertisements

Pg. 472 Homework Pg. 324#70 – 76 all #1ɣ = 68°, b = 3.88, c = 6.61 #2α = 35.97°, ɣ = 34.03°, c = 4.76 #3 = °, b = 27.55, c = #4No triangle.

Angles and Radian Measure Section 4.1. Objectives Estimate the radian measure of an angle shown in a picture. Find a point on the unit circle given one.

Section5.1 Angles and Their Measure. Angles Measuring Angles Using Degrees.

Chapter Radian and degree measurement. Objectives O Describe Angles O Use radian measure O Use degree measure and convert between and radian measure.

Circular Motion Linear speed Units are always length per time mph (bike or car speeds) Angular speed rpm (revolutions per minute) Engine speed ALWAYS.

6.1.2 Angles. Converting to degrees Angles in radian measure do not always convert to angles in degrees without decimals, we must convert the decimal.

Ch 4 Trigonometric Functions

Trigonometric Functions

Copyright © Cengage Learning. All rights reserved.

Notes – Arc Length 1 in 3 in A) B). Find the arc length of the two given circles at the beginning of our PPT. A)B)

DC2. Unit 1 – Angular and Linear Speed -You will be able to find the angular speed and linear speed of spinning objects.

Circular Motion Circumference:2  r Period = T:definition? Basic quantities in circular motion:

4.1 Day 2 Objectives: Find coterminal angles Find the length of a circular arc Use linear & angular speed to describe motion on a circular path Pg. 459.

7.2 Angular & Linear Speed.

Notes Over 14.1 Graph Sine, Cosine, and Tangent Functions.

1° = 60 ′ 1 ′ = 60 ″ Convert 50°6 ′ 21 ″ 50° + 6 × (1/60)° + 21 × (1/60) × (1/60)° = ° Convert to degrees 21° +.256(60 ′ ) 21° ′

3 Radian Measure and Circular Functions

Circular Motion How do we work out the velocity of something which is moving at constant speed in a circle ? Answer: We use the simple formula: But in.

Rotational Motion Angles, Angular Velocity and Angular Acceleration

Section5.1 Angles and Their Measure

Radian and Degree Measure

Recall Radian measure:

Applications of Radian Measure

6.1.5 – Sector Areas.

1) Find the measure of the largest angle.

Evaluate each expression. Hint: Use the unit circle.

Angles and Their Measure

Complete each identity.

1) On a blank unit circle fill in the degree measures.

Back to Trig Quick Review: Convert 200 degrees to radians

1) State the LAW OF SINES. 2) Find a. Students,

Simplify the expression using a sum/difference formula.

Convert the following angle to radians or vice versa.

Use the same sheet of paper as yesterday.

Without a calculator, find the indicated value.

Use the same sheet of paper as yesterday.

Write the complement and supplement of each angle.

Complete each trigonometric identity. Factor each expression.

What you will learn How to find linear and angular velocity.

Warm-Up: If , find tan θ..

Angular & Linear Velocity

Find all the solutions without using a calculator.

Degrees and radians.

Notes 4.1 – Angles and Their Measure

Students, Take out your calendar and your homework

Section 6.1 Radian and Degree Measure

Section 2 –Linear and Angular Velocity

Angles and Their Measures

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.

Demana, Waits, Foley, Kennedy

Find all the solutions without using a calculator.

Find the period and amplitude. Describe the shift.

Put all unit circles away and prepare to take the “Unit Circle Quiz.”

The equations for circular motion are identical to those of linear motion except for variable names. True False.

Section 4.1 Angles and Their Measure

Students, Take out your calendar and your homework

Take out a sheet of paper for the short quiz.

1) Write the vector in component form.

Find all the solutions without using a calculator.

Complete each identity

Rotational Kinematics

(1) Find all of the zeros of f.

Students, Take out your calendar and your homework

Find the exact value of each expression.

Evaluate each expression. Hint: Use the unit circle.

Students, Take out your calendar and your homework

Complete each table. Students,

Complete each identity

Linear and Angular Speed

Presentation transcript:

Find the amplitude and period for each function. Students, Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA. Use your notes if necessary. Find the amplitude and period for each function. Find the sine and tangent of θ.

Graph:

Graph the following functions.

Linear and Angular Speed 2) The circular blade on a saw rotates at 2400 revolutions per minute. Find the angular speed in radians per second. The blade has a radius of 4 inches. Find the linear speed of a blade tip in inches per second.