Fundamental Trig Identities

Slides:



Advertisements
Similar presentations
Using Fundamental Identities
Advertisements

Write the following trigonometric expression in terms of sine and cosine, and then simplify: sin x cot x Select the correct answer:
7.1 – Basic Trigonometric Identities and Equations
Warm-Up: February 18, 2014 Write each of the following in terms of sine and cosine: tan x = csc x = sec x = cot x =
Chapter 6 Trig 1060.
5.1 Using Fundamental Identities
October 29, 2012 The Unit Circle is our Friend! Warm-up: Without looking at your Unit Circle! Determine: 1) The quadrant the angle is in; 2) The reference.
(x, y) (x, - y) (- x, - y) (- x, y). Sect 5.1 Verifying Trig identities ReciprocalCo-function Quotient Pythagorean Even/Odd.
Copyright © Cengage Learning. All rights reserved. 5.1 Using Fundamental Identities.
Verifying Trig Identities (5.1) JMerrill, 2009 (contributions from DDillon)
Vocabulary identity trigonometric identity cofunction odd-even identities BELLRINGER: Define each word in your notebook.
Warm-Up 2/12 Evaluate – this is unit circle stuff, draw your triangle.
Section Reciprocal Trig Functions And Pythagorean Identities.
Precalculus Fifth Edition Mathematics for Calculus James Stewart Lothar Redlin Saleem Watson.
Trigonometry Section 8.4 Simplify trigonometric expressions Reciprocal Relationships sin Θ = cos Θ = tan Θ = csc Θ = sec Θ = cot Θ = Ratio Relationships.
Chapter 5 Analytic Trigonometry. Intro Using Fundamental Identities Intro In previous chapters, we studied __________ ________________, ______________,
Pythagorean Identities Unit 5F Day 2. Do Now Simplify the trigonometric expression: cot θ sin θ.
Math III Accelerated Chapter 14 Trigonometric Graphs, Identities, and Equations 1.
Using Fundamental Identities Objectives: 1.Recognize and write the fundamental trigonometric identities 2.Use the fundamental trigonometric identities.
Do Now  .
(x, y) (- x, y) (- x, - y) (x, - y).
5.1, 5.2: Using and Verifying Trig Identities
Analytic Trigonometry
Welcome to Precalculus!
Trigonometry Identities.
Section 5.1 Trigonometric Identities
Section 5.1A Using Fundamental Identities
Trigonometry Review.
5 Trigonometric Identities.
Trigonometric Functions: The Unit Circle Section 4.2
Using Fundamental Identities
Section 6.1 Verifying Trigonometric Identities
Section 5.1 Verifying Trigonometric Identities
Ch. 5 – Analytic Trigonometry
14.3 Trigonometric Identities
Trigonometry Identities and Equations
Objective Use fundamental trigonometric identities to simplify and rewrite expressions and to verify other identities.
Section 5.1: Fundamental Identities
Complete each identity.
Lesson 6.5/9.1 Identities & Proofs
Basic Trigonometric Identities and Equations
7.1 – Basic Trigonometric Identities and Equations
7.2 – Trigonometric Integrals
Lesson 5.1 Using Fundamental Identities
Fundamental Trigonometric Identities Essential Questions
Basic Trigonometric Identities and Equations
7.1 – Basic Trigonometric Identities and Equations
Pythagorean Identities
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.
7 Trigonometric Identities and Equations
Pyrhagorean Identities
Using Fundamental Identities (Section 5-1)
Trigonometric Identities
Using Fundamental Identities
Warm-Up: Give the exact values of the following
Using Fundamental Identities
18. MORE on TRIG IDENTITIES
Basic Trigonometric Identities and Equations
5.1(a) Notes: Using Fundamental Identities
The Fundamental Identities
The Fundamental Identities
7.1 – Basic Trigonometric Identities and Equations
5.1 Using Fundamental Identities
Basic Trigonometric Identities and Equations
12. MORE on TRIG IDENTITIES
WArmup Rewrite 240° in radians..
An Introduction to Trig Identities
Trigonometric Identities
Given
Presentation transcript:

Fundamental Trig Identities I. Fundamental Trig Identities. A) Reciprocal identities. B) Quotient identities.

Fundamental Trig Identities I. Fundamental Trig Identities. C) Pythagorean identities.

Fundamental Trig Identities I. Fundamental Trig Identities. D) Even / Odd identities. E) Cofunction identities.

Fundamental Trig Identities II. Using Identities to Evaluate Trig Functions. A) Evaluate all 6 trig functions given one trig value. 1) The 6 trig functions (sin, cos, tan, csc, sec, cot) 2) Use x2 + y2 = r2 to find x, y & r. 3) Determine which quadrant you are in and what signs x, y & r will be in that quadrant. 4) Write the 6 trig identities with the correct signs. (Rationalize the denominator, reduce fractions and simplify double signs.)

Fundamental Trig Identities III. Using Trig Identities to Simplify Trig Expressions. A) Try converting everything to sine and cosine and simplifying (canceling out terms). B) Try using one of the trig identities to rewrite the expression. C) Try factoring out a GCF (Greatest Common Factor) or Factor using some other method. D) Don’t give up. Try something. E) There is often more than one way to simplify a trig expression.