By S.V. Cunningham Three Rivers Community College

Slides:

Advertisements

Similar presentations

Double Angle Formulas. Let sinA=1/5 with A in QI. Find sin(2A).

Advertisements

10.3 Double Angle and Half Angle Formulas

Warm Up sign Up. APC Lesson 26  Essential Question: What is the cosine double angle identity?  Standard: Prove and apply trigonometric identities.

Chapter 7: Trigonometric Identities and Equations

Trigonometric Identities

7.3.1 – Product/Sum Identities. So far, we have talked about modifying angles in terms of addition and subtraction Not included within that was the case.

Warm Up Sign Up. AccPreCalc Lesson 27 Essential Question: How are trigonometric equations solved? Standards: Prove and apply trigonometric identities.

Chapter 6 Trig 1060.

Copyright © 2009 Pearson Addison-Wesley Trigonometric Identities.

Trig – In a Nutshell Help I’m trapped in a nutshell.

Solving Trigonometric Equations T, 11.0: Students demonstrate an understanding of half-angle and double- angle formulas for sines and cosines and can use.

Some needed trig identities: Trig Derivatives Graph y 1 = sin x and y 2 = nderiv (sin x) What do you notice?

Pg. 407/423 Homework Pg. 407#33 Pg. 423 #16 – 18 all #19 Ѳ = kπ#21t = kπ, kπ #23 x = π/2 + 2kπ#25x = π/6 + 2kπ, 5π/6 + 2kπ #27 x = ±1.05.

BELL-WORK TCAP Bell-Work # What is the cotangent of angle x if sec(x) = 12 5.

Simplify the given expression: sec²t csct csc²t sect.

Trigonometric Identity Review. Trigonometry Identities Reciprocal Identities sin θ = cos θ = tan θ = Quotient Identities Tan θ = cot θ =

Jeopardy Simplify Trig expressions Verify Trig Identities Find all Solutions Solutions with multiple angles Solutions with factoring Q $100 Q $200 Q $300.

(a) To use the formulae sin (A B), cos (A B) and tan (A B). (b) To derive and use the double angle formulae (c) To derive and use the half angle formulae.

Double-Angle and Half-Angle Identities

TRIGONOMETRIC IDENTITIES

DOUBLE-ANGLE AND HALF-ANGLE FORMULAS

9-3: Other Identities.

Basic Trigonometric Identities

Addition and Subtraction Formulas

Ch. 5 – Analytic Trigonometry

Properties: Trigonometric Identities

5.5/5.6 – Double- and Half-Angle Identities

7.2 Addition and Subtraction Formulas

Sum and Difference Formulas

Sum and Difference Identities

Review 5.1 to 5.3.

Sum and Difference Identities for the Sin Function

Trig addition formulae

Lesson 6.5/9.1 Identities & Proofs

Multiple-Angle and Product-Sum Formulas

Lesson 38 – Double Angle & Half Angle Identities

5.3/5.4 – Sum and Difference Identities

9.3 Double-Angle and Half-Angle Formulas

Find sin 2x, cos 2x, and tan 2x from the given information: {image} Select the correct answer:

5-3 Tangent of Sums & Differences

One way to use identities is to simplify expressions involving trigonometric functions. Often a good strategy for doing this is to write all trig functions.

Homework Log Fri 4/22 Lesson 8 – 4 Learning Objective:

Basic Trigonometric Identities and Equations

Last time… Homework questions?.

Using Fundamental Identities

Review Find the EXACT value of: 1. sin 30° 2. cos 225° 3. tan 135° 4. cos 300° How can we find the values of expressions like sin 15° ?? We need some new.

Copyright © 2017, 2013, 2009 Pearson Education, Inc.

Double angle formulae.

Examples Double Angle Formulas

Copyright © Cengage Learning. All rights reserved.

3 step problems Home End 1) Solve 2Sin(x + 25) = 1.5

Half-Angle Identities

Product-to-Sum and Sum-to-Product Formulas

Multiple-Angle and Product-to-Sum Formulas (Section 5-5)

Double-Angle and Half-Angle Formulas 5.3

Double and Half Angle Formulas

Power-reducing & Half angle identities

Double-Angle, Half-Angle Formulas

5.5 Multiple Angle & Product-to-Sum Formulas

Copyright © Cengage Learning. All rights reserved.

Solving Trigonometric Equations

Solving Trigonometric Equations

What is coming up due?.

Main Ideas of Hon PreCalc Ch. 5 Class 1

Warm Up Identify the Vertical Shift, Amplitude, Maximum and Minimum, Period, and Phase Shift of each function Y = 3 + 6cos(8x) Y = 2 - 4sin( x + 3)

7.3 Sum and Difference Identities

14. DOUBLE-ANGLE IDENTITIES

An Inverse Function What was that again?

Aim: How do we solve trig equations using

Presentation transcript:

By S.V. Cunningham Three Rivers Community College Double Angle Formulas By S.V. Cunningham Three Rivers Community College

Let sinA=1/5 with A in QI. Find sin(2A).

Let sinA=1/5 with A in QI. Find sin(2A).

Let sinA=1/5 with A in QI. Find sin(2A).

Find sin(90°) using a double angle formula.

Simplify 2sin30°cos30°.

Simplify cos215°–sin215°.

Derive an alternative form of the identity cos(2A)=cos2A–sin2A.

Derive an alternative form of the identity cos(2A)=cos2A–sin2A.

The identity with its alternative forms.

Suppose that cos x =1/ 10 with xQ IV, find sin(2x) and cos(2x).

Suppose that cos x =1/ 10 with xQ IV, find sin(2x) and cos(2x).

Suppose that cos x =1/ 10 with xQ IV, find sin(2x) and cos(2x).

Suppose that cos x =1/ 10 with xQ IV, find sin(2x) and cos(2x).

Simplify 2cos2105°–1.

Prove that (cos x – sin x)(cos x + sin x)=cos(2x)

Derive a double angle formula for the tangent function.

Derive a double angle formula for the tangent function.

Derive a double angle formula for the tangent function.

Derive a double angle formula for the tangent function.

Derive a double angle formula for the tangent function.

Derive a double angle formula for the tangent function.

Derive a double angle formula for the tangent function.

Derive a double angle formula for the tangent function.

Derive a double angle formula for the tangent function.

Derive a double angle formula for the tangent function.

Derive a double angle formula for the tangent function.

Derive a double angle formula for the tangent function.

Derive a double angle formula for the tangent function.

Derive a double angle formula for the tangent function.

Given cos  =1/10 and x  QIV, find tan(2).

Given cos  =1/10 and x  QIV, find tan(2).

Given cos  =1/10 and x  QIV, find tan(2).

Given csc t = 7 with t in QII, find sin(2t) and cos(2t).

Given csc t = 7 with t in QII, find sin(2t) and cos(2t).

Given csc t = 7 with t in QII, find sin(2t) and cos(2t).