You will need a calculator and high lighter!

Slides:



Advertisements
Similar presentations
Objective - To use basic trigonometry to solve right triangles.
Advertisements

Trigonometry Right Angled Triangle. Hypotenuse [H]
8 – 6 The Sine and Cosine Ratios. Sine and Cosine Suppose you want to fine the legs, x and y, in a triangle. You can’t find these values using the tangent.
Objective: To use the sine, cosine, and tangent ratios to determine missing side lengths in a right triangle. Right Triangle Trigonometry Sections 9.1.
Trigonometry Chapters Theorem.
Basic Trigonometry.
Unit 1 – Physics Math Algebra, Geometry and Trig..
Warmup: What is wrong with this? 30 ⁰. 8.3 and 8.4 Trigonometric Ratios.
Section 8.5 Tangent Ratio. What is Trigonometry ? The study of triangles and their measurements.
8-3: Trigonometry Objectives To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles To use the sine,
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.
Trigonometric Ratios in Right Triangles. Trigonometric Ratios are based on the Concept of Similar Triangles!
Set calculators to Degree mode.
7-3A Trigonometric Ratios What is trigonometry? What is sine? What is cosine? What is tangent?
8.5 and 8.6 Trigonometric Ratios
1 What you will learn  How to find the value of trigonometric ratios for acute angles of right triangles  More vocabulary than you can possibly stand!
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.
Trigonometric Ratios and Their Inverses
Finding a Missing Angle of a Right Triangle. EXAMPLE #1  First: figure out what trig ratio to use in regards to the angle.  Opposite and Adjacent O,A.
Chapter : Trigonometry Lesson 3: Finding the Angles.
Trigonometry Ratios.
Lesson 46 Finding trigonometric functions and their reciprocals.
9-2 Sine and Cosine Ratios. There are two more ratios in trigonometry that are very useful when determining the length of a side or the measure of an.
List all properties you remember about triangles, especially the trig ratios.
8-3 Trigonometry Part 2: Inverse Trigonometric Functions.
[8-3] Trigonometry Mr. Joshua Doudt Geometry pg
Date: Topic: Trigonometric Ratios (9.5). Sides and Angles x The hypotenuse is always the longest side of the right triangle and is across from the right.
Chapter 5 Lesson 1 Trigonometric Ratios in Right Triangles.
Geometry 9.5 Trigonometric Ratios.
THE Tangent Ratio Unit 10: Section 8.5
TRIGONOMETRY.
Trigonometric Functions
Trigonometry Chapter 9.1.
How do we use trig ratios?
Right Triangle Trigonometry
Warm Up Use the following triangles: Find a if b = 10√2
Trigonometry Ratios in Right Triangles
Trigonometry Trigonometry is concerned with the connection between the sides and angles in any right angled triangle. Angle.
…there are three trig ratios
Right Triangle Trigonometry
Right Triangle Trigonometry
Right Triangle Trigonometry
Trigonometry Obj: I can to use trigonometry to find unknown sides and unknown angles in a triangle. Trigonometry is concerned with the connection between.
Geometry 9.5 Trigonometric Ratios.
Trigonometry Welcome to Camp SOH-CAH-TOA
…there are three trig ratios
Aim: How do we review concepts of trigonometry?
Basic Trigonometry.
2a Basic Trigonometric Functions Sine, Cosine, and tangent
Trigonometry Ratios in Right Triangles
Solve for the missing side.
7-5 and 7-6: Apply Trigonometric Ratios
Right Triangle 3 Tangent, Sine and Cosine
Warm-up.
Review these 1.) cos-1 √3/ ) sin-1-√2/2 3.) tan -1 -√ ) cos-1 -1/2
Warm – up Find the sine, cosine and tangent of angle c.
Trigonometry.
Right Triangle Trigonometry
“Triangle Measurement”
Review: Find the missing measures. Write all answers in radical form.
Right Triangle Trigonometry
Trigonometry for Angle
1..
Junior Cert TRIGONOMETRY.
Trigonometry Ratios in Right Triangles
Right Triangle Trigonometry
Trigonometric Ratios Geometry.
8-4 Trigonometry Vocab Trigonometry: The study of triangle measurement
…there are three trig ratios
Presentation transcript:

You will need a calculator and high lighter!

13.1 Sine, Cosine, and Tangent Ratios

3 Basic Trig ratios: 1. sine (sin) 2. cosine (cos) 3. tangent (tan) Trigonometry comes from the ancient Greek language and means measurement of triangles. 3 Basic Trig ratios: 1. sine (sin) 2. cosine (cos) 3. tangent (tan)

S O H C A H T O A *You can only use trigonometry, sohcahtoa, when you have a RIGHT triangle*

SOHCAHTOA B Z y C x A Sin A = opposite side of <A hypotenuse Cos A = adjacent side of <A Tan A = opposite side of <A adjacent side of <A Sin A = z y Cos A = x Tan A = z x

B 17 15 A 8 C Sin A = Cos A = Tan A = Sin B = Cos B = Tan B =

*Calculator must be in DEGREE mode when using trig! Sin 48°= Cos 13°=

*When you are missing the angle measure, use the inverse (-¹) key Sin X° = 0.5 Cos X° = 0.866

Tear out pages 692-694 & 703-704 p. 692 2-5 p. 703 3-8