Objective: Convert equations from rectangular to polar form and vice versa. Warm up 1. Plot points. a. b.

Slides:

Advertisements

Similar presentations

Notes Over 6.4 Graph Sine, Cosine Functions Notes Over 6.4 Graph Sine, Cosine, and Tangent Functions Equation of a Sine Function Amplitude Period Complete.

Advertisements

EXAMPLE 1 Evaluate inverse trigonometric functions Evaluate the expression in both radians and degrees. a.cos –1 3 2 √ SOLUTION a. When 0 θ π or 0° 180°,

Polar Coordinates (MAT 170) Sections 6.3

Inverses of Trigonometric Functions. The Sine Function Graph Domain: Range: All Reals -1≤y≤1 The Sine graph is a function (one output for each input).

8.3 Solving Right Triangles

Lesson 14-1 Algebra Check Skills You’ll Need 14-4

Law of Sines Apply the trigonometric ratios sine, cosine and tangent to solve problems, such as determining lengths and areas in right triangles.

10.4A Polar Equations Rectangular: P (x, y) Polar: P (r,  )  r = radius (distance from origin)   = angle (radians)

Section 6.4 Inverse Trigonometric Functions & Right Triangles

Inverse Trigonometric Functions Section 4.7. Objectives Evaluate inverse trigonometric functions at given values. State the domain and range of each of.

Triangle Warm-up Can the following side lengths be the side lengths of a triangle?

Copyright © 2011 Pearson, Inc. 6.4 Polar Coordinates.

4.7 Inverse Trig Functions. By the end of today, we will learn about….. Inverse Sine Function Inverse Cosine and Tangent Functions Composing Trigonometric.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 1 Homework, Page 468 Use a sum or difference identity to find an.

Section 4.7 Inverse Trigonometric Functions Pg

Chapter 5 Analytic Trigonometry Sum & Difference Formulas Objectives:  Use sum and difference formulas to evaluate trigonometric functions, verify.

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.

Warm-Up Write the sin, cos, and tan of angle A. A BC

Copyright © 2011 Pearson, Inc. 4.7 Inverse Trigonometric Functions.

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

EXAMPLE 1 Solve a triangle for the AAS or ASA case Solve ABC with C = 107°, B = 25°, and b = 15. SOLUTION First find the angle: A = 180° – 107° – 25° =

Sine Law Homework Questions??? Pg. 25 # 3, 5, 7, 9.

Find the values of the six trigonometric functions for 300

***Welcome Back***  Looking forward to an exiting and successful year! Mrs. Hankollari.

Trigonometric Functions

Exam Review Spring 2014.

Lesson: Regular Polygons, Trigonometry, & Area

1.9 Inverse Trig Functions Obj: Graph Inverse Trig Functions

Objective: Use pythagorean identities.

6.4 Polar Coordinates.

Objective: Polar coordinate system. Coordinate conversion.

Objective: Use the law of sine. (SSA)

Honors Precalc: Warm-Up

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

6-3: Law of Cosines

Sum and Difference Identities

Sum and Difference Identities

10.7 Polar Coordinates.

6.4 Polar Coordinates.

Homework Questions.

8.3 Trigonometric Identities (Part 1)

Trigonometric Functions

DO NOW 14.6: Sum and Difference Formulas (PC 5.4)

Basic Identities Trigonometric Identities Section 3.1

Notes Over 6.4 Graph Sine, Cosine Functions.

Warm Up – 1/2 - Thursday.

The Inverse Sine, Cosine and Tangent Function

The Inverse Sine, Cosine, and Tangent Functions

Chapter 3 Section 5.

2.4 cosine law Let’s take a look at various trigonometric curves before moving on Understanding how the curves look for sine, cosine, tangent and their.

Homework Questions.

Pre-Calculus Second Semester Review 2013

POLAR COORDINATES Dr. Shildneck.

Chapter 12 Review Domain: Range: x y

Trigonometric identities and equations Sum and difference identities

Law of Sines and Cosines

Trigonometric Form Section 6.5 Precalculus PreAP/Dual, Revised ©2016

Law of Sines Notes Over If ABC is a triangle with sides a, b, c, then according to the law of sines, or.

Trigonometric Functions of Any Angle

Warm-up: Solve the triangle. mA = 70, c = 26, a = 25

7.3 Sum and Difference Identities

8.3 Trigonometric Identities (Part 1)

Chapter 9 Law of Cosines and Law of Sines

Objective: Finding solutions of trigonometric equations.

Objective: Use power-reducing and half angle identities.

Sum and Difference Formulas (Section 5-4)

The Inverse Sine, Cosine, and Tangent Functions

Objective: Test for symmetry in polar equations.

Presentation transcript:

Objective: Convert equations from rectangular to polar form and vice versa. Warm up 1. Plot points. a. b.

2. Find another representation of in which: r is positive; . r is negative; . r is positive; .

3. Find the polar coordinates of

Polar equations and graphs.

Example 1 Convert each rectangular equation to polar. a. b. c.

Example 2 Convert to rectangular form. a. b. c. d.

e. f.

Notebook Check #3 01/28/13_____Objective: Inverse trigonometric functions. (example 4 d) 01/29/13_____Obj: Evaluate inverse trigonometric functions. (example 3d) 02/11/13_____Obj: Use sum or difference identities for sine, cosine, tangent. (example 5) 02/25/13_____Obj: Solve trigonometric equations by factoring. (example 1-e) 03/04/12_____Obj: Solve triangles using the Law of Sines. Case I AAS or ASA. (example 3) 03/11/12_____Obj: Review the laws of sine and cosine. ( warm up 2)

Assignment Pg 673 #49-56; 59-72