Simplify the expression using a sum/difference formula.

Slides:



Advertisements
Similar presentations
Trigonometric Identities
Advertisements

In these sections, we will study the following topics:
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.
Double-Angle and Half-Angle Identities
Chapter Radian and degree measurement. Objectives O Describe Angles O Use radian measure O Use degree measure and convert between and radian measure.
Section 5.5 Double Angle Formulas
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.
Section 7.2 – The Quadratic Formula. The solutions to are The Quadratic Formula
Ch 4 Trigonometric Functions
5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and.
PRE-AP PRE- CALCULUS CHAPTER 5, SECTION 1 Fundamental Identities
Copyright © Cengage Learning. All rights reserved.
{ Applications of Radian Measure OBJECTIVE: Use angles to model and solve real-life problems.
10.1 – Sine & Cosine Formulas Sum & Difference Formulas.
7.2 Angular & Linear Speed.
Pg. 407/423 Homework Pg. 407#33 Pg. 423 #16 – 18 all #9 tan x#31#32 #1x = 0.30, 2.84#2x = 0.72, 5.56 #3x = 0.98#4No Solution! #5x = π/6, 5π/6#6Ɵ = π/8.
MULTIPLE ANGLE & PRODUCT –TO-SUM IDENTITIES Section 5-5.
3 Radian Measure and Circular Functions
Chapter 5: Analytic Trigonometry
Section5.1 Angles and Their Measure
Section 5.5B Half Angle Formulas
Examples Radians & Degrees (part 2)
Chapter 7 Section 1.
1) Find the measure of the largest angle.
Multiple-Angle and Product-Sum Formulas
Radian and Degree Measures
Midterm Exam Would the following students please come to the board and share your methods of solving with solutions:
Evaluate each expression. Hint: Use the unit circle.
5.5/5.6 – Double- and Half-Angle Identities
5.5 Multiple-Angle Formulas
Homework Lesson Handout
Complete each identity.
1) On a blank unit circle fill in the degree measures.
1) State the LAW OF SINES. 2) Find a. Students,
Pre-AP Pre-Calculus Chapter 5, Section 3
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.
Double- And Half-Angle Formulas
Copyright © Cengage Learning. All rights reserved.
Find all the solutions without using a calculator.
Solving Trigonometric Equations (Section 5-3)
Section 6.1 Radian and Degree Measure
Section 2 –Linear and Angular Velocity
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.
5.4 Sum and Difference Formulas
Multiple-Angle and Product-to-Sum Formulas (Section 5-5)
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.”
Identities: Cofunction, Double-Angle and Half-Angle
Academy Algebra II 14.7: (PC 5.5): Multiple-Angle and Product-Sum
Sum and Difference Formulas
Section 4.1 Angles and Their Measure
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
Find the exact value of each expression.
Evaluate each expression. Hint: Use the unit circle.
Complete each table. Students,
Find the amplitude and period for each function.
Complete each identity
Objective: Finding solutions of trigonometric equations.
Linear and Angular Speed
Sum and Difference Formulas (Section 5-4)
Presentation transcript:

Simplify the expression using a sum/difference formula. Students, Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA. Use your notes if necessary. Simplify the expression using a sum/difference formula. Find the exact value of each expression.

Section 5.5, Double-Angle Formulas, pg. 375

Copy this triangle and determine the following expressions:

Solve on the interval [0, 2π).

Section 5.5, Half-Angle Formulas, pg. 378

Power-Reducing Formulas

Verify each identity.

Find all solutions to the equations.

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.