The Beginning of Trigonometry Trigonometry can be used to calculate the lengths of sides and sizes of angles in right-angled triangles. The three formulas:

Slides:

Advertisements

Similar presentations

Trigonometry Right Angled Triangle. Hypotenuse [H]

Advertisements

Trigonometric Ratios Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.

Holt McDougal Geometry Trigonometric Ratios Warm Up Write each fraction as a decimal rounded to the nearest hundredth Solve each equation

Basic Trigonometry.

Trigonometry can be used for two things: 1.Using 1 side and 1 angle to work out another side, or 2.Using 2 sides to work out an angle.

TRIGONOMETRY Find trigonometric ratios using right triangles Solve problems using trigonometric ratios Sextant.

SOH CAH TOA By: Corinne Fahs. Purpose The purpose of this PowerPoint is to help with the understanding of trigonometry by the use of SOH CAH TOA. The.

5.4 Trig. Ratios Trigonometer Trigon- Greek for triangles Metric- Greek for Measure.

Where you see the picture below copy the information on the slide into your bound reference.

Trigonometry. Basic Ratios Find the missing Law of Sines Law of Cosines Special right triangles

STARTER x x In each triangle, find the length of the side marked x.

There are 3 kinds of trigonometric ratios we will learn. sine ratio cosine ratio tangent ratio Three Types Trigonometric Ratios.

Get a calculator!. Trigonometry Trigonometry is concerned with the connection between the sides and angles in any right angled triangle. Angle.

1 Practice Problems 1.Write the following to 4 decimal places A)sin 34 o = _____ B) cos 34 o = _____ C)tan 4 o = _____ D) cos 84 o = _____ E)tan 30 o =

Trigonometry functions and Right Triangles First of all, think of a trigonometry function as you would any general function. That is, a value goes in and.

TRIGONOMETRIC RATIOS Chapter 9.5. New Vocabulary  Trigonometric Ratio: The ratio of the lengths of two sides or a right triangle.  The three basic trigonometric.

Geometry A BowerPoint Presentation.  Try these on your calculator to make sure you are getting correct answers:  Sin ( ) = 50°  Cos ( )

Trig Review: PRE-AP Trigonometry Review Remember right triangles? hypotenuse θ Opposite side Adjacent side Triangles with a 90º angle.

By Mr.Bullie. Trigonometry Trigonometry describes the relationship between the side lengths and the angle measures of a right triangle. Right triangles.

Review of Trig Ratios 1. Review Triangle Key Terms A right triangle is any triangle with a right angle The longest and diagonal side is the hypotenuse.

TRIGONOMETRY BASIC TRIANGLE STUDY: RATIOS: -SINE -COSINE -TANGENT -ANGLES / SIDES SINE LAW: AREA OF A TRIANGLE: - GENERAL -TRIGONOMETRY -HERO’S.

Trigonometry – Right Angled Triangles By the end of this lesson you will be able to identify and calculate the following: 1. Hypotenuse, Opposite Side,

Chapter 8.3: Trigonometric Ratios. Introduction Trigonometry is a huge branch of Mathematics. In Geometry, we touch on a small portion. Called the “Trigonometric.

Basic Trigonometry Jeopardy

25 April 2017 Trigonometry Learning Objective:

8.4 Trigonometric Ratios.

7.5 & 7.6– Apply the Sin-Cos-Tan Ratios. Hypotenuse: Opposite side: Adjacent side: Side opposite the reference angle Side opposite the right angle Side.

Introduction to Trigonometry Part 1

Warm- up What do you remember about right triangles?

Trigonometry Revision. B AC 30 º hypotenuse adjacent opposite.

Trigonometry: The study of triangles (sides and angles) physics surveying Trigonometry has been used for centuries in the study.

Lesson 1: Trigonometric Functions of Acute Angles Done by: Justin Lo Lee Bing Qian Danyon Low Tan Jing Ling.

Using SOHCAHTOA Trigonometry. In each of the following diagrams use SIN to find the angle x correct to 1 decimal place x x x

Right Angle Trigonometry Pythagorean Theorem & Basic Trig Functions Reciprocal Identities & Special Values Practice Problems.

Trigonometry Chapter 7. Review of right triangle relationships  Right triangles have very specific relationships.  We have learned about the Pythagorean.

Right Triangle Trigonometry Ratios Must label the sides B A C From the marked angle… Hypotenuse- across from the right angle Adjacent – next to.

(1) Sin, Cos or Tan? x 7 35 o S H O C H A T A O Answer: Tan You know the adjacent and want the opposite.

Chapter 13 Right Angle Trigonometry

Trigonometric Ratios In Trigonometry, the comparison is between sides of a triangle. Used to find a side of a right triangle given 1 side and 1 acute angle.

Trigonometry can be used for two things: 1.Using 1 side and 1 angle to work out another side, or 2.Using 2 sides to work out an angle.

Ratios for Right Angle Triangles.  Sine = opposite hypotenuse  Cosine = opposite hypotenuse  Tangent = opposite adjacent Sin = OCos = ATan = O H H.

9.2 Trigonometry: Tangent Ratio Day 1

Introduction to Trigonometry Right Triangle Trigonometry.

Notes Chapter 8.3 Trigonometry  A trigonometric ratio is a ratio of the side lengths of a right triangle.  The trigonometric ratios are:  Sine: opposite.

Trigonometry in Rightangled Triangles Module 8. Trigonometry  A method of calculating the length of a side Or size of an angle  Calculator required.

Trigonometry Lesley Soar Valley College Objective: To use trigonometric ratios to find sides and angles in right-angled triangles. The Trigonometric.

Ch 8.3 Trignonometry Parts of a right triangle Blue is the Hypotenuse- The Hypotenuse is the longest side, furthest from the right angle A B.

Trigonometry Angles Sides and Lengths Questions Questions Finished

Trigonometric Ratios 8.2.

Right Triangle Trigonometry

Pythagorean Theorem COSINE Calculations for Guide Right™ Guides

Basic Trigonometry We will be covering Trigonometry only as it pertains to the right triangle: Basic Trig functions:  Hypotenuse (H) Opposite (O) Adjacent.

Overview of Angles & Triangles.

Objectives Find the sine, cosine, and tangent of an acute angle.

Right Triangle Trigonometry

Right Triangle Trigonometry

Basic Trigonometry.

Basic Trigonometry.

An introduction to Trigonometry

Trigonometry To be able to find missing angles and sides in right angled triangles Starter - naming sides.

Right Triangle Trigonometry

Trigonometry - Sin, Cos or Tan...

Right Triangle Trigonometry

Welcome GCSE Maths.

Trigonometry – Angles & Lengths – Demonstration

Trigonometry Olivia Miller.

Trigonometry – Lengths – Demonstration

Presentation transcript:

The Beginning of Trigonometry Trigonometry can be used to calculate the lengths of sides and sizes of angles in right-angled triangles. The three formulas: sin, cos, tan The sides of the right-angled triangles are given special names - the hypotenuse, the opposite and the adjacent. The hypotenuse is the longest side and is always opposite the right angle. The opposite and adjacent sides relate to the angle under consideration. There are three formulae involved in trigonometry: sin = opposite / hypotenuse cos = adjacent / hypotenuse tan = opposite / adjacent Which formula you use will depend on the information given in the question. There are a couple of ways to help you remember which formula to use. Remember SOHCAHTOA (it sounds like 'Sockatoa') or Some Old Hag Cracked All Her Teeth On Apples.

Cont. SOH- S means sin CAH- C means cos TOA- T means tan O means opposite A means adjacent O means opposite H means hypotenuse H means hypotenuse A means adjacent Make sure you follow this diagram above. ^^^^

Example We are given angle A and side AB. AB is the hypotenuse. BC is opposite angle A. Therefore we use the formula: sin = opposite / hypotenuse sin 30 = BC / 7 Multiply both sides by 7 7 x sin30 = BC Using a calculator we get BC = 3.5cm

Practice Questions 1 2 3

ANSWERS: cm cm cm WELL DONE IF YOU GOT THEM ALL RIGHT!

Do you think trigonometry is easy now? I hope you do because we understand it. If you have any trouble with trigonometry still just ask us, Nitisha or Robyn. Trigonometry can be fun!