 Trigonometry is a branch of Mathematics that studies triangles and the relationships between their sides and the angles between these sides. www.wikipedia.org/wiki/Trigonometrywww.wikipedia.org/wiki/Trigonometry,

Slides:



Advertisements
Similar presentations
Trigonometry Right Angled Triangle. Hypotenuse [H]
Advertisements

Geometry 8.5 The Tangent Ratio. Trigonometry The word trigonometry comes from the Greek words that mean “triangle measurement.” In this course we will.
Section 10.1 Tangent Ratios.
Honors Geometry Section 10.3 Trigonometry on the Unit Circle
Trigonometric Functions. Let point P with coordinates (x, y) be any point that lies on the terminal side of θ. θ is a position angle of point P Suppose.
By: Jessica Craighead ADVANCED MATH/TRIG PROJECT.
Trigonometry The Unit Circle.
Introduction The six trigonometric functions (sine, cosine, tangent, cosecant, secant, and cotangent) can be used to find the length of the sides of a.
How to Teach Trig Functions Sarah Benoit. Planning this Lesson  Inspiration Help organize my thoughts Think about what I am wanting to teach  What is.
Trigonometric Functions on Any Angle Section 4.4.
UNIT CIRCLE. Review: Unit Circle – a circle drawn around the origin, with radius 1.
BY: JERRY STIEG Trigonometry Project. What is Trigonometry? The word trigonometry comes from Greek words meaning “the measurement of triangles” It is.
ACT Math Practice. Geometry and Trigonometry Placement Tests Primary content areas included in the Geometry Placement Test include: » Triangles (perimeter,
45 ⁰ 45 – 45 – 90 Triangle:. 60 ⁰ 30 – 60 – 90 Triangle: i) The hypotenuse is twice the shorter leg.
Introduction Navigators and surveyors use the properties of similar right triangles. Designers and builders use right triangles in constructing structures.
Section 1.1 Basic Concepts Section 1.2 Angles Section 1.3 Angle Relationships Section 1.4 Definitions of Trig Functions Section 1.5 Using the Definitions.
Alicia Stith. What is Trigonometry?  A type of math with a connection with angles, sides of triangles, and functions of angles.
Trigonometry Anna Wilson. What is Trigonometry? Trigonometry is the branch of mathematics that deals with the relationships between the sides and the.
Lesson 13.1: Trigonometry.
INTRODUCTION TO ENGINEERING TECHNOLOGY SEVENTH EDITION ROBERT J. POND & JEFFERY L. RANKINEN CHAPTER 6 RIGHT-TRIANGLE TRIGONOMETRY AND GEOMETRY FOR TECHNOLOGISTS.
Twenty Questions Subject: Right Triangle Trigonometry.
Trigonometry ACT Review. Definition of Trigonometry It is a relationship between the angles and sides of a triangle.
TRIGONOMETRY  Trigonometry is derived from Greek words trigonon (three angles) and metron ( measure).  Trigonometry is the branch of mathematics which.
TRIGONOMETRY PROJECT JOSH LACKS. WHAT IS TRIGONOMETRY? Trigonometry is a branch of mathematics that deals with the relations of the sides of angles of.
TRIGONOMETRY Submitted to: Submitted by: Mrs. Dhawan Simran Gill (Roll No.40) & Yukti Sharma (Roll No.47) Class: 10 th - A Branch of Mathematics -
Do Now: Graph the equation: X 2 + y 2 = 1 Draw and label the special right triangles What happens when the hypotenuse of each triangle equals 1?
Introduction to Trigonometry What is Trigonometry? Trigonometry is the study of how the sides and angles of a triangle are related to each other. It's.
Right Triangle Trigonometry Sine, Cosine, Tangent.
Trig. Functions & the Unit Circle. Trigonometry & the Unit Circle VERY important Trig. Identity.
Introduction to Trigonometry What is Trigonometry? Trigonometry is the study of how the sides and angles of a triangle are related to each other. It's.
Section 5.3 Evaluating Trigonometric Functions
7.2 Finding a Missing Side of a Triangle using Trigonometry
TRIGONOMETRY BASIC TRIANGLE STUDY: RATIOS: -SINE -COSINE -TANGENT -ANGLES / SIDES SINE LAW: AREA OF A TRIANGLE: - GENERAL -TRIGONOMETRY -HERO’S.
5.3 The Unit Circle. A circle with center at (0, 0) and radius 1 is called a unit circle. The equation of this circle would be So points on this circle.
Morgan Foster Trigonometry Project.
Right Triangle Trigonometry Three Basic Trig Ratios: sin θ = opposite/hypotenuse cos θ = adjacent/hypotenuse tan θ = opposite/adjacent Adjacent Side Hypotenuse.
Radian Measure One radian is the measure of a central angle of a circle that intercepts an arc whose length equals a radius of the circle. What does that.
Chapter 2 Trigonometric Functions of Real Numbers Section 2.2 Trigonometric Functions of Real Numbers.
8.3 Trigonometry. Similar right triangles have equivalent ratios for their corresponding sides. These equivalent ratios are called Trigonometric Ratios.
TRIGONOMETRY Lesson 2: Solving Right Triangles. Todays Objectives Students will be able to develop and apply the primary trigonometric ratios (sine, cosine,
Lesson 46 Finding trigonometric functions and their reciprocals.
4.3 Right Triangle Trigonometry Trigonometric Identities.
Trigonometry ACT Review. Definition of Trigonometry It is a relationship between the angles and sides of a triangle.
List all properties you remember about triangles, especially the trig ratios.
13.1 Right Triangle Trigonometry. Definition  A right triangle with acute angle θ, has three sides referenced by angle θ. These sides are opposite θ,
Mathematics is a subject that is vital for gaining a better perspective on events that occur in the natural world. A keen aptitude for maths improves.
Section 6.2 The Unit Circle and Circular Functions
Introduction Navigators and surveyors use the properties of similar right triangles. Designers and builders use right triangles in constructing structures.
Right Triangle Trigonometry
Lesson: Introduction to Trigonometry - Sine, Cosine, & Tangent
Trig Ratios of Any Angles
A Great Tool to Use in Finding the Sine and Cosine of Certain Angles
TRIGONOMETRY.
The Unit Circle Today we will learn the Unit Circle and how to remember it.
Rayat Shikshan Sanstha’s Hutatma Babu Genu Vidyalaya,Mahalunge Padwal
Lesson Objectives SWKOL how to use trigonometry to obtain values of sides and angles of right triangles.
Overview of Angles & Triangles.
Trigonometry By: Jayden and Mr.D..
7-6 Sine and Cosine of Trigonometry
Activity 4-2: Trig Ratios of Any Angles
CHAPTER 8 Right Triangles.
Solving Right Triangles
Find sec 5π/4.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Trigonometric Functions
Lesson: Introduction to Trigonometry - Sine, Cosine, & Tangent
Right Triangles Unit 4 Vocabulary.
Warm-up: Match each trig function with its right triangle definition:
4.3 Right Triangle Trigonometry
8-4 Trigonometry Vocab Trigonometry: The study of triangle measurement
Presentation transcript:

 Trigonometry is a branch of Mathematics that studies triangles and the relationships between their sides and the angles between these sides. August last modified, The public

 Bartholemaeus Pitiscus published an influential work on Trigonometry but it did not reach its modern form till the 17 th century during the Age of Enlightenment with Leonhard Euler last modified, The public

 Bartholemaeus Pitiscus was a German astronomer and theologian. He first coined the word Trigonometry. He achieved fame with his influential work called Trigonometria which introduced the word Trigonometry to English and French languages. Some people believe that he started using the decimal point.  Leonard Euler introduced the concept of functions and was the first to write f(x), he introduced the modern notation for the trigometric functions. August 22, 2012 last modied, The public

 Surveyors use the tangent function. They can use trigonometry to find the distance across a river.  Advanced scanning procedure use sine and cosine functions find applications in medical techniques such as MRI scanning, in detecting tumors and even in laser treatments.

 Sound travels in waves and this pattern though not as regular as a sine or cosine functions, functions are still useful in development of computer music. A computer does not listen to and comprehend music as we do, so computers represent it mathematically by its consistent sound waves. This means that sound engineers research advances in computer music have to relate to the basic law of Trigonometry.  Flight Navigators use the simplest application computing the heading to a nearby destination with known coordinates.

 Sine- opposite/hypotenuse  Cosine- adjacent/hypotenuse  Tangent- opposite/adjacent

 Cotangent- adjacent/opposite  Secant- hypotenuse/adjacent  Cosecant- hypotenuse/opposite They all deal with adjacent, opposite, and hypotenuse of a triangle. I remember using this in geometry. September Last modified, The public

  This site explains basic Trigonometry  It offers tutors

 The class can make food like cakes and cookies and decorate them to look like the unit circle.

 A unit circle is a circle with a radius of one.  The unit circle is the circle of radius one centered at the origin.  If (x,y) is point on the unit circle in the first quadrant then x and y are the lengths of the legs of a right triangle whose hypotenuse is set equal to one. August last modified, The public