Notes Over 6.3 Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate.

Slides:

Advertisements

Similar presentations

Trigonometric Identities

Advertisements

The Inverse Trigonometric Functions Section 4.2. Objectives Find the exact value of expressions involving the inverse sine, cosine, and tangent functions.

Evaluating Sine & Cosine and and Tangent (Section 7.4)

Day 2 and Day 3 notes. 1.4 Definition of the Trigonometric Functions OBJ:  Evaluate trigonometric expressions involving quadrantal angles OBJ:  Find.

Day 3 Notes. 1.4 Definition of the Trigonometric Functions OBJ:  Evaluate trigonometric expressions involving quadrantal angles OBJ:  Find the angle.

Trigonometry/Precalculus ( R )

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°,

Lesson 4.4 Trigonometric Functions of Any Angle. Let  be an angle in standard position with (x, y) a point on the Terminal side of  and Trigonometric.

MTH 112 Elementary Functions (aka: Trigonometry) Review for the Final.

5.5 Solving Trigonometric Equations Example 1 A) Is a solution to ? B) Is a solution to cos x = sin 2x ?

Solving Trigonometric Equations. First Degree Trigonometric Equations: These are equations where there is one kind of trig function in the equation and.

Circular Trigonometric Functions.

A bit more practice in Section 4.7b. Analysis of the Inverse Sine Function 1–1 D:R: Continuous Increasing Symmetry: Origin (odd func.) Bounded Abs. Max.

8.3 Solving Right Triangles

5-5 Solving Right Triangles. Find Sin Ѳ = 0 Find Cos Ѳ =.7.

EXAMPLE 1 Use an inverse tangent to find an angle measure

Inverses  How do we know if something has an inverse? ○ Vertical line tests tell us if something is a function ○ Horizontal line tests will tell us if.

Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric.

Trigonometric Equations Edited by Mr. Francis Hung Last Updated: 2013–03–12 1http:///

Copyright © 2005 Pearson Education, Inc.. Chapter 6 Inverse Circular Functions and Trigonometric Equations.

Section 6.4 Inverse Trigonometric Functions & Right Triangles

13.2 – Define General Angles and Use Radian Measure.

4.2 Day 1 Trigonometric Functions on the Unit Circle Pg. 472 # 6-10 evens, evens, 46, 54, 56, 60 For each question (except the 0 o, 90 o, 180 o,

Trigonometric Equations Edited by Mr. Francis Hung Last Updated:

TOP 10 Missed Mid-Unit Quiz Questions. Use the given function values and trigonometric identities to find the indicated trig functions. Cot and Cos 1.Csc.

30º 60º 1 45º 1 30º 60º 1 Do Now: Find the lengths of the legs of each triangle.

1 © 2010 Pearson Education, Inc. All rights reserved © 2010 Pearson Education, Inc. All rights reserved Chapter 4 Trigonometric Functions.

Solving Right Triangles Geometry H2 (Holt 8-3)K. Santos.

Sec 6.2 Trigonometry of Right Triangles Objectives: To define and use the six trigonometric functions as ratios of sides of right triangles. To review.

Warm- Up 1. Find the sine, cosine and tangent of  A. 2. Find x. 12 x 51° A.

9-1 & 9-2 Trigonometry Functions. Vocabulary Examples 1) Write the ratios for Sin A Cos A Tan A 2) Write the ratios for Sin A Cos A Tan A.

Inverse Trigonometric Functions 4.7

13-3 Radian Measure Today’s Objective: I can measure an angle in radians.

4.3 – Trigonometric Functions on the Unit Circle.

Warm-Up 8/26 Simplify the each radical expression

+ 4.4 Trigonometric Functions of Any Angle *reference angles *evaluating trig functions (not on TUC)

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

4.4 Trigonometric Functions of Any Angle

Evaluating Inverse Trigonometric Functions

Properties of the Trigonometric Functions

4.4 Trigonmetric functions of Any Angle. Objective Evaluate trigonometric functions of any angle Use reference angles to evaluate trig functions.

Pg. 362 Homework Pg. 362#56 – 60 Pg. 335#29 – 44, 49, 50 Memorize all identities and angles, etc!! #40

Lesson 13.4, For use with pages cos 45º ANSWER 1 2 Evaluate the expression. 2. sin 5π 6 3.tan(– 60º) ANSWER – 3 ANSWER 2 2.

Warm up. Review for chapter test Chapter 4 Understanding Trigonometric Functions Language Objectives: We will learn more about trigonometric functions.

Right Triangles Consider the following right triangle.

Trigonometry Exact Value Memory Quiz A Trigonometry Exact Value Memory Quiz A.

EXAMPLE 1 Evaluate trigonometric functions given a point Let (–4, 3) be a point on the terminal side of an angle θ in standard position. Evaluate the six.

Warm-Up 3/ Find the measure of

Trigonometry Ratios.

MATH 110 UNIT 1 – TRIGONOMETRY Part A. Activity 7 – Find Missing Sides To find an unknown side on a triangle, set up our trigonometric ratios and use.

Sin x = Solve for 0° ≤ x ≤ 720°

8-3 Trigonometry Part 2: Inverse Trigonometric Functions.

4.3 Right Triangle Trigonometry Objective: In this lesson you will learn how to evaluate trigonometric functions of acute angles and how to use the fundamental.

Trigonometric Functions: Unit Circle Approach

14.1 The Unit Circle Part 2. When measuring in radians, we are finding a distance ____ the circle. This is called. What is the distance around a circle?

Trigonometry Section 7.4 Find the sine and cosine of special angles. Consider the angles 20 o and 160 o Note: sin 20 o = sin160 o and cos 20 o = -cos 160.

Holt McDougal Algebra Inverses of Trigonometric Functions toolbox Pg. 953 (2-10;16-24;30-31, 41 why4)

Section 7-6 The Inverse Trigonometric Functions. Inverse Trig. Functions With the trigonometric functions, we start with an angle, θ, and use one or more.

 Find the value of the other five trigonometric functions.

4.4 Trig Functions of Any Angle Objectives: Evaluate trigonometric functions of any angle Use reference angles to evaluate trig functions.

Objective: Use unit circle to define trigonometric functions. Even and odd trig functions. Warm up 1.Find and. 2.Give the center and radius of a circle.

EXAMPLE 1 Use an inverse tangent to find an angle measure Use a calculator to approximate the measure of A to the nearest tenth of a degree. SOLUTION Because.

Trigonometry Section 7.6 Apply inverse trigonometry functions

Warm Up Use trigonometric identities to simplify: csc ∙tan

Trigonometric Function: The Unit circle

Trigonometric Functions of Acute Angles

Trigonometric Functions of Any Angle (Section 4-4)

Unit 7B Review.

Objectives Students will learn how to use special right triangles to find the radian and degrees.

Sec 6.2 Trigonometry of Right Triangles

Presentation transcript:

Notes Over 6.3 Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric functions.

Notes Over 6.3 Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric functions.

Finding Reference Angles Find the reference angle θ ’ for each angle θ. Notes Over 6.3

Finding Reference Angles Find the reference angle θ ’ for each angle θ. Notes Over 6.3

Finding Reference Angles Find the reference angle θ ’ for each angle θ. Notes Over 6.3

Finding Reference Angles Find the reference angle θ ’ for each angle θ. Notes Over 6.3

Using Reference Angles to Evaluate Trigonometric Functions Evaluate the function without using a calculator. A ll S tudents T ake C alculus Notes Over 6.3

Using Reference Angles to Evaluate Trigonometric Functions Evaluate the function without using a calculator. A ll S tudents T ake C alculus Notes Over 6.3

Using Reference Angles to Evaluate Trigonometric Functions Evaluate the function without using a calculator. A ll S tudents T ake C alculus Notes Over 6.3

Evaluating Inverse Trigonometric Functions Where is sin a = Evaluate the expression in both radians and degrees. A ll S tudents T ake C alculus Notes Over 6.3

Where is tan a = Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Notes Over 6.3 A ll S tudents T ake C alculus

Where is cos a = Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Notes Over 6.3 A ll S tudents T ake C alculus

Notes Over 6.3