Basic Trigonometry Jeopardy

Slides:



Advertisements
Similar presentations
~Finding the Height of a Tree~
Advertisements

Trigonometry Right Angled Triangle. Hypotenuse [H]
Sine, Cosine, Tangent, The Height Problem. In Trigonometry, we have some basic trigonometric functions that we will use throughout the course and explore.
Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems
SOH CAH TOA Ally Coonradt & Darrin Davis. SOH CAH TOA Used to solve right triangles S- sine C- cosine T- tangent O- opposite; opposite from the angle.
1 7.2 Right Triangle Trigonometry In this section, we will study the following topics: Evaluating trig functions of acute angles using right triangles.
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.
Chapter 7: Right Triangles and Trigonometry Apply The Sine and Cosine Ratios.
Right Triangle Trigonometry. Objectives Find trigonometric ratios using right triangles. Use trigonometric ratios to find angle measures in right triangles.
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.
60º 5 ? 45º 8 ? Recall: How do we find “?”. 65º 5 ? What about this one?
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.
Trigonometry SOH CAH TOA.
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.
 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
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 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,
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:
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.
Trigonometry.
7.2 Finding a Missing Side of a Triangle using Trigonometry
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.
Chapter 8.3: Trigonometric Ratios. Introduction Trigonometry is a huge branch of Mathematics. In Geometry, we touch on a small portion. Called the “Trigonometric.
9.6 Sine and Cosine. CHIEF SOH-CAH-TOA SOH CAH TOA.
Right Triangle Geometry “for physics students”. Right Triangles Right triangles are triangles in which one of the interior angles is 90 otrianglesangles.
Introduction to Trigonometry Part 1
Warm- up What do you remember about right triangles?
1 7.2 Right Triangle Trigonometry In this section, we will study the following topics: Evaluating trig functions of acute angles using right triangles.
 ABC ~  MNP ~  DEF P D N M Find the ratios. Round to 4 decimals places. D E F 4 4√2 A B C 2 2√2 M N P 3 3√2 C B A 2 20 o o E.
Trigonometry Revision Booklet Introduction to Trigonometry
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.
Right Triangle Trigonometry Ratios Must label the sides B A C From the marked angle… Hypotenuse- across from the right angle Adjacent – next to.
Chapter 13 Right Angle Trigonometry
Find the missing measures (go in alphabetical order) 60° 30° 10 y z Warm – up 3 45  y 60  30  x 45 
7.5 and 7.6 Trigonometric Ratios The Legend of SOH CAH TOA...Part 1 The Legend of SOH CAH TOA...Part 1.
9.5: Trigonometric Ratios. Vocabulary Trigonometric Ratio: the ratio of the lengths of two sides of a right triangle Angle of elevation: the angle that.
The Trigonometric Functions SINE COSINE TANGENT. SINE Pronounced “sign”
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.
4.3 Right Triangle Trigonometry Right Triangle Trig Our second look at the trigonometric functions is from a ___________________ ___________________.
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)
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.
Right Triangle Trigonometry A B C SOHCAHTOA. Geometry - earth measurement Trigonometry - triangle measurement Sine of an angle = Opposite leg Hypotenuse.
Trigonometry in Rightangled Triangles Module 8. Trigonometry  A method of calculating the length of a side Or size of an angle  Calculator required.
SOH CAH TOA PROBLEMS SOLVING RIGHT TRIANGLES. To SOLVE A TRIANGLE means to know all three sides and all three angles. For example: C 12 cm x 40° A yB.
Tangent Ratio.
Pythagorean Theorem COSINE Calculations for Guide Right™ Guides
Warm Up Use the following triangles: Find a if b = 10√2
Trigonometric Functions
Right Triangle Trigonometry
Right Triangle Trigonometry
7.4 - The Primary Trigonometric Ratios
You will need a calculator and high lighter!
UNIT QUESTION: What patterns can I find in right triangles?
A little pick-me-up.
Warm Up Solve for each missing side length. x ° 8 x
Basic Trigonometry.
Solve for the missing side.
7-5 and 7-6: Apply Trigonometric Ratios
Geometry 9.5 Trigonometric Ratios
Lesson: Introduction to Trigonometry - Sine, Cosine, & Tangent
Warm-up.
Trig Function Review.
Trigonometry To be able to find missing angles and sides in right angled triangles Starter - naming sides.
Right Triangle Trigonometry
Right Triangle Trigonometry
Presentation transcript:

Basic Trigonometry Jeopardy Right Triangles SOH CAH TOA 100 200 300 400 500

A 3 sided figure with exactly one angle measuring 90ᵒ Right Triangles for 100 A 3 sided figure with exactly one angle measuring 90ᵒ Answer

What is a right triangle? R.T. 100 Answer What is a right triangle? Home

The side across from the given angle is the _________ side. Right Triangles for 200 The side across from the given angle is the _________ side. Answer

What is the opposite side? R.T. 200 Answer What is the opposite side? Home

The side next to the given angle is the _________ side. Right Triangles for 300 The side next to the given angle is the _________ side. Answer

What is the adjacent side? R.T. 300 Answer What is the adjacent side? Home

The side across from the right angle is the ________________. Right Triangles for 400 The side across from the right angle is the ________________. Answer

R.T. 400 Answer What is the hypotenuse? Home

True or false: the triangle below is a right triangle. Right Triangles for 500 True or false: the triangle below is a right triangle. 50ᵒ 45ᵒ Answer

R.T. 500 Answer What is false? Home

S.O.H. stands for __________ _________ _ ___________. SOH for 100 S.O.H. stands for __________ _________ _ ___________. Answer

What is sine opposite hypotenuse? SOH 100 Answer What is sine opposite hypotenuse? Home

SOH for 200 The formula for sine. Answer

What is sin = opposite_ ? hypotenuse SOH 200 Answer What is sin = opposite_ ? hypotenuse Home

SOH for 300 Given angle B in the triangle below, if we want to find c, what information do we still need if we are using sine? A B C c b a Answer

SOH 300 Answer What is b? Home

SOH for 400 Find x 10 cm X 36ᵒ Answer

SOH 400 Answer What is about 5.878 cm? Home

SOH for 500 Julie is going to zipline down from a landing that is 50 feet high. If the line touches the ground at a 30ᵒ angle, how long is the line? Answer

SOH 500 Answer What is 100 feet? Home

C.A.H. stands for ___________ __________ ____________. CAH for 100 C.A.H. stands for ___________ __________ ____________. Answer

What is cosine adjacent hypotenuse? CAH 100 Answer What is cosine adjacent hypotenuse? Home

CAH for 200 The formula for cosine. Answer

What is cos = _adjacent__ ? hypotenuse CAH 200 Answer What is cos = _adjacent__ ? hypotenuse Home

CAH for 300 Find x X 45ᵒ 3 m Answer

CAH 300 Answer What is about 4.24 m? Home

CAH for 400 If we want to use cosine to find b, and we are given side c, what information do we need? A B C c b a Answer

CAH 400 Answer What is angle A? Home

CAH for 500 A dog is sitting and looking up at a squirrel in a tree. If the distance between the squirrel and the spot the dog is sitting on is 15 yards and the angle between the dog’s line of sight and the ground is 50ᵒ, how far from the tree is the dog? Answer

CAH 500 Answer What is about 9.642 yards? Home

T.O.A. stands for ________ _________ _________. TOA for 100 T.O.A. stands for ________ _________ _________. Answer

What is tangent opposite adjacent? TOA 100 Answer What is tangent opposite adjacent? Home

The formula for tangent. TOA for 200 The formula for tangent. Answer

What is tan = _opposite_ ? adjacent TOA 200 Answer What is tan = _opposite_ ? adjacent Home

TOA for 300 With the triangle below, given angle B, if we want to use tangent to find a, what info do we still need? A B C c b a Answer

TOA 300 Answer What is side b? Home

TOA for 400 Find x 60ᵒ 18 ft X Answer

TOA 400 Answer What is about 31.177 feet? Home

TOA for 500 Play me! Answer

TOA 500 Answer What is about ? Home