Today’s Agenda Homework Review: ◦ Workbook 9.4: 1-8 ◦ Textbook pg 555: 24-27 all. ◦ Textbook pg 799: 18-25 all. ◦ Note pack 9.4 problems Homework ◦ Finish.

Slides:



Advertisements
Similar presentations
Solving Right Triangles Essential Question How do I solve a right triangle?
Advertisements

SOHCAHTOA TOA CAH SOH The three trigonometric ratios for right angled triangles are considered here. Click on a box to select a ratio.
Sine, Cosine, Tangent, The Height Problem. In Trigonometry, we have some basic trigonometric functions that we will use throughout the course and explore.
1 Mr. Owh Today is: Friday, April 7 th, 2006 Lesson 9.5A – Trigonometric Ratios 75A, 75B, 75C, 75D, 76 75A, 75B, 75C, 75D, 76 Announcements: Chapter 9.
an input/output machine where…
Special Triangles: 45 o -45 o -90 o ° x x Example: 45° 7 7 x x.
1 7.2 Right Triangle Trigonometry In this section, we will study the following topics: Evaluating trig functions of acute angles using right triangles.
Trigonometry Review of Pythagorean Theorem Sine, Cosine, & Tangent Functions Laws of Cosines & Sines.
Right Triangle Trigonometry. Objectives Find trigonometric ratios using right triangles. Use trigonometric ratios to find angle measures in right triangles.
TRIGONOMETRY Find trigonometric ratios using right triangles Solve problems using trigonometric ratios Sextant.
Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and angles of a right triangle: – 2 side lengths – or –
8.3 Solving Right Triangles
Do Now – You Need a Calculator!!
Notes - Trigonometry *I can solve right triangles in real world situations using sine, cosine and tangent. *I can solve right triangles in real world situations.
Geometry Notes Lesson 5.3A – Trigonometry T.2.G.6 Use trigonometric ratios (sine, cosine, tangent) to determine lengths of sides and measures of angles.
 A trigonometric ratio is a ratio of the lengths of 2 sides of a right triangle.  You will learn to use trigonometric ratios of a right triangle to determine.
Trigonometry. Basic Ratios Find the missing Law of Sines Law of Cosines Special right triangles
9.5 Trigonometric Ratios Sin-Cos-Tan. What is Trigonometry? Trigonometry (from Greek trigōnon "triangle" + metron "measure") is a branch of mathematics.
9.5 Trigonometric ratios How are trigonometric ratios used to find missing sides of right triangles?
Trig Ratios SohCahToa Sine = Sin A = ___ Sin C = ___.
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.
Find x: Find the angle measure for A, B, C, D, E and F. March 23 (P)/ March 24 (W) Warm Up x 18 C B 55º D 80º F 12 7 A.
Geometry 8-2 Trigonometric Ratios A trigonometric (trig) ratio is a ratio of two sides of a right triangle. Use trig ratios when the right triangle only.
Triangles. 9.2 The Pythagorean Theorem In a right triangle, the sum of the legs squared equals the hypotenuse squared. a 2 + b 2 = c 2, where a and b.
2/9/12 Sect. 7.4 Trigonometric (Trig) Ratios Notes: SWBAT compute trigonometric ratios- sine, cosine & tangent, building blocks of science & engineering.
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.
TODAY IN GEOMETRY…  Review: SOH CAH TOA  Learning Target 1: 7.4 You will find missing sides of a triangle using TRIG  Independent Practice  Learning.
Chapter 8.3: Trigonometric Ratios. Introduction Trigonometry is a huge branch of Mathematics. In Geometry, we touch on a small portion. Called the “Trigonometric.
8.4 Trigonometric Ratios.
Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and angles of a right triangle: – 2 side lengths – or –
1 7.2 Right Triangle Trigonometry In this section, we will study the following topics: Evaluating trig functions of acute angles using right triangles.
Warm-Up Write the sin, cos, and tan of angle A. A BC
Trigonometry Ratios.
Section 13.1.a Trigonometry. The word trigonometry is derived from the Greek Words- trigon meaning triangle and Metra meaning measurement A B C a b c.
Geometry Warm Up. 8-3 TRIGONOMETRY DAY 1 Objective: To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right.
TRIGONOMETRY Sec: 8.3 Sol: G.8  You can use trigonometric ratios to find missing measures of sides AND angles of right triangles.  A ratio of the lengths.
Warm – up Find the sine, cosine and tangent of angle c.
7.5 and 7.6 Trigonometric Ratios The Legend of SOH CAH TOA...Part 1 The Legend of SOH CAH TOA...Part 1.
8-3 Trigonometry Part 2: Inverse Trigonometric Functions.
[8-3] Trigonometry Mr. Joshua Doudt Geometry pg
Ratios for Right Angle Triangles.  Sine = opposite hypotenuse  Cosine = opposite hypotenuse  Tangent = opposite adjacent Sin = OCos = ATan = O H H.
8.3 NOTES Right Triangle Trigonometry. Warm up Find the value in radical form 1) 2)
Chapter 8-3 Trigonometry. Objectives  Students will be able to use the sine, cosine, and tangent ratios to determine side lengths and angle measures.
Trigonometry in Rightangled Triangles Module 8. Trigonometry  A method of calculating the length of a side Or size of an angle  Calculator required.
Definition 3: Trigonometric Functions: The Unit Circle 3.4 JMerrill, 2009 Contributions from DDillon.
LAW OF SINE AND COSINE UNIT 5 – 6 USE ON ALL TRIANGLES!!!!
Lesson: Introduction to Trigonometry - Sine, Cosine, & Tangent
Trigonometric Functions
Standards MGSE9-12.G.SRT.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions.
Warm Up (Just give the fraction.) 3. Find the measure of ∠T: ________
7.4 - The Primary Trigonometric Ratios
Trigonometric Ratios The legend of Chief Sohcahtoa.
A 5 4 C 3 B 3 5 Sin A =.
Trigonometric Ratios Obj: Students will be able to use the sine, cosine, and tangent ratios to find side length of a triangle.
Lesson 8-3: Trigonometry
Solve Right Triangles Mr. Funsch.
7-5 and 7-6: Apply Trigonometric Ratios
7.5 Apply the Tangent Ratio
Geometry 9.5 Trigonometric Ratios
Lesson: Introduction to Trigonometry - Sine, Cosine, & Tangent
Warm-up.
Trig Function Review.
Day 88 – Trigonometric ratios of complements
Section 2 – Trigonometric Ratios in Right Triangles
Trigonometry for Angle
Reviewing Trig Ratios 7.4 Chapter 7 Measurement 7.4.1
Parent-Teacher Conferences TONIGHT!
10-6 Trigonometric Ratios
5.2 Apply the Tangent Ratio
Presentation transcript:

Today’s Agenda Homework Review: ◦ Workbook 9.4: 1-8 ◦ Textbook pg 555: all. ◦ Textbook pg 799: all. ◦ Note pack 9.4 problems Homework ◦ Finish handout from class

Trigonometric Ratios (Trig Ratios) For any given acute angle in a right triangle, trigonometric functions are just the ratios of 2 of the side lengths. Three basic Trig functions are: 1. Sine (sin) 2. Cosine (cos) 3. Tangent (tan)

SOH-CAH-TOA Who am I? 1.Belonged to the small tribe Hypotens (part of the Shoshone tribe) in western US. 2.Lived in huts with roof that started at the ground and leaned against a tree. 3.Tribe exclusively used sine language 4.Name is legend among both math scholars and students!

Sacagawea Shoshone interpreter, member of the Lewisand Clark expedition. Born around On the gold dollar Who was in the picture?

Trigonometric Ratios Trigonometric Ratios (SOH-CAH-TOA) SOH sin A = CAH cos A = TOA tan A = b A C B c a