Geometry Warm-Up2/7/12 Find the sine, cosine, and tangent of  A &  B.

Slides:



Advertisements
Similar presentations
trigonometry trigonometric ratio sine cosine tangent inverse sine
Advertisements

Trigonometry--The study of the properties of triangles
Trigonometry Right Angled Triangle. Hypotenuse [H]
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–3) NGSSS Then/Now New Vocabulary Key Concept: Trigonometric Ratios Example 1: Find Sine, Cosine,
Sine, Cosine, Tangent, The Height Problem. In Trigonometry, we have some basic trigonometric functions that we will use throughout the course and explore.
Lesson 9-1 & 9-2: Trigonometry of Right Triangles (Sine, Cosine, Tangent) SOH-CAH-TOA.
Trigonometry and Angles of Elevation and Depression CHAPTER 8.4 AND 8.5.
GEOMETRY 8.3 Trigonometry SIMILAR Triangles have the same RATIOS of SIDES.
Mathematical Applications For The Physics Classroom Algebra and Trigonometry.
EXAMPLE 1 Use an inverse tangent to find an angle measure
Trigonometry CHAPTER 8.4. Trigonometry The word trigonometry comes from the Greek meaning “triangle measurement”. Trigonometry uses the fact that the.
 In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs  a 2 + b 2 = c 2 a, leg.
Trigonometry. Logarithm vs Natural Logarithm Logarithm is an inverse to an exponent log 3 9 = 2 Natural logarithm has a special base or e which equals.
Trigonometry trigonometric ratio sine cosine tangent Find trigonometric ratios using right triangles. Solve problems using trigonometric ratios.
 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.
Name:__________ warm-up 10-6 Find the missing length. If necessary, round to the nearest hundredth. If c is the measure of the hypotenuse of a right triangle,
Friday, February 5 Essential Questions
Unit 1 – Physics Math Algebra, Geometry and Trig..
Trigonometry Objectives: The Student Will … Find trigonometric ratios using right Triangles Solve problems using trigonometric ratios HOMEWORK: Sin, cos,
Use this diagram for Exercises 1–4.
9.5 Trigonometric Ratios Sin-Cos-Tan. What is Trigonometry? Trigonometry (from Greek trigōnon "triangle" + metron "measure") is a branch of mathematics.
Hosted by Mr. Guthrie Definitions Trig IdentitiesCoordinate Trig Trig Problems
1 WARM UP 1)Find the altitude a 1)Find the missing legs. 3) m
Transparency 4. Transparency 4a Chapter 9 Right Triangles and Trigonometry Section 9.5 Sine, Cosine, Tangent.
Chapter 7.7 Notes: Solve Right Triangles Goal: You will use inverse tangent, sine, and cosine ratios to determine the unknown angle measures of right triangles.
Trigonometric Ratios Trigonometry – The branch of mathematics that deals with the relations between the sides and angles of triangles, and the calculations.
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,
SECTION 8.4 TRIGONOMETRY. The word trigonometry comes from two greek terms, trigon, meaning triangle, and metron, meaning measure. a trigonometric ratio.
8-3 Trigonometry Day 2.
5-Minute Check on Lesson 7-4a Transparency 7-5a Click the mouse button or press the Space Bar to display the answers. Find x Given an adjacent.
Warm – up Given the following triangle find the missing side lengths
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–3) CCSS Then/Now New Vocabulary Key Concept: Trigonometric Ratios Example 1: Find Sine, Cosine,
200 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 PythagorasSpecialRightTriangles.
Chapter 7 – Right Triangles and Trigonometry
7.5 – 7.6 Trigonometry.
Geometry Warm-Up 2/6/12 The perimeter of a square is 20 inches. Find the length of a side on the square and the diagonal.
Warm- up What do you remember about right triangles?
Trigonometry Advanced Geometry Trigonometry Lesson 3.
Warm-Up Write the sin, cos, and tan of angle A. A BC
Find the missing sides of the special right triangles. 1) 2) 3) Solve for x. D.N.A. Complete your DNA on a fresh sheet of paper. Label it as shown on the.
Warm-Up Exercises ANSWER 8.0 ANSWER If m P = 58° and r = 5, find p. 1. If PR = 12 and m R = 19°, find p. Use this diagram for Exercises 1–4.
Trigonometry Chapter 7. Review of right triangle relationships  Right triangles have very specific relationships.  We have learned about the Pythagorean.
Chapter 8-4 part 2 Trigonometry This lesson has been modified from the original in the following ways: 1.Use of a trig. Table replaces a calculator. Students.
8-4 Trigonometry The student will be able to:
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.
Find the missing measures (go in alphabetical order) 60° 30° 10 y z Warm – up 3 45  y 60  30  x 45 
Right Triangle Trigonometry
Trigonometry Lesson 7.4 What is Trigonometry? Trigonometry is the study of how the sides and angles of a triangle are related to each other. It's all.
The Trigonometric Functions SINE COSINE TANGENT. SINE Pronounced “sign”
8.3 Trigonometry SOL: G8 Objectives: The Student Will … Find trigonometric ratios using right Triangles Solve problems using trigonometric ratios.
8.4 Trigonometry- Part I Then: You used the Pythagorean Theorem to find missing lengths in right triangles. Now: 1. Find trigonometric ratios using right.
8-3 Trigonometry Part 2: Inverse Trigonometric Functions.
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.
5-Minute Check 1 Find x and y. A. B. C. D. Starter(s):
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.
HONORS GEOMETRY 8.4. Trigonometry Day One. Do Now: Find all missing sides.
Trig Jeopardy $100 Basic TrigTrig RatiosAnglesSidesReal World $200 $300 $400 $300 $200 $100 $400 $300 $200 $100 $400 $300 $200 $100 $400 $300 $200 $100.
Bell Work: Perform the calculation and express the answer with the correct number of significant digits. 1.24g + 6.4g + 5.1g.
Splash Screen.
7.4 - The Primary Trigonometric Ratios
Geometry Special Right Triangles, sin(90), cos(90),tan(90) Incenter vs Centroid FA: BB- Ms. Johnson 2017/2018.
Splash Screen.
LESSON 8–4 Trigonometry.
7.5 Apply the Tangent Ratio
Geometry 9.5 Trigonometric Ratios
trigonometry trigonometric ratio sine cosine tangent inverse sine
Section 2 – Trigonometric Ratios in Right Triangles
Geometry Section 7.7.
Trigonometry for Angle
Presentation transcript:

Geometry Warm-Up2/7/12 Find the sine, cosine, and tangent of  A &  B.

8-4: Trigonometry Geometry February 7, 2012

TRIGONOMETRY SIN = OPP/HYP COS = ADJ/HYP TAN = OPP/ADJ SOH CAH TOA

Example 1: A fitness trainer sets the incline on a treadmill to 7°. The walking surface is 5 feet long. Approximately how many inches did the trainer raise the end of the treadmill from the floor?

“Gettin’ Triggy With It”

Example 2: The bottom of a handicap ramp is 15 feet from the entrance of a building. If the angle of the ramp is about 4.8°, how high does the ramp rise off the ground to the nearest inch?

Example 3: What is the value of x to the nearest tenth degree?

Example 4: Find m  B to the nearest tenth of a degree if cos B = and  B is an acute angle.