We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byLeon Wileman
Modified about 1 year ago
Trigonometry Exit Definitions sine cosine & tangent adjacent side opposite side angle hypotenuse Terminology
Triangle terminology Exit Opposite side Opposite side Adjacent side Adjacent side Hypotenuse Contents Terminology Definitions
angle Opposite side: the side opposite the angle Exit opposite angle Opposite side Opposite side Adjacent side Adjacent side Hypotenuse Contents Terminology Definitions
adjacent Adjacent side: the side beside the angle Exit adjacent angle Opposite side Opposite side Adjacent side Adjacent side Hypotenuse Contents Terminology Definitions
Hypotenuse: the longest side Exit hypotenuse Opposite side Opposite side Adjacent side Adjacent side Hypotenuse Contents Terminology Definitions
Exit Tangent Sine Cosine A B 90 o C a c b Contents Terminology Definitions
Exit clear Sine Cosine A B 90 o C a c b tan(A) = tan(B) Tangent of angle A opposite adjacent abab = Contents Terminology Definitions
Tangent of angle B Exit clear Sine Cosine A B 90 o C a c b tan(B) = tan(A) opposite adjacent baba = Contents Terminology Definitions
Sine of angle A Exit Tangent Cosine A B 90 o C a c b sin(A) == acac sin(B) opposite hypotenuse Clear Contents Terminology Definitions
Sine of angle B Exit Tangent Clear A B 90 o C a c b sin(B) == bcbc sin(A) opposite hypotenuse Cosine Contents Terminology Definitions
Cosine of angle A Exit Tangent Sine Clear A B 90 o C a c b cos(A) == bcbc cos(B) adjacent hypotenuse Contents Terminology Definitions
Cosine of angle B Exit Tangent Sine Clear A B 90 o C a c b cos(B) == acac cos(A) adjacent hypotenuse Contents Terminology Definitions
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.
Special Right Triangles Definition and use. The Triangle Definition There are many right angle triangles. Today we are most interested in right.
Trigonometry Exit Definitions Further topics Further topics sine cosine & tangent Triangle terminology Triangle terminology adjacent side opposite side.
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.
7.2 Finding a Missing Side of a Triangle using Trigonometry.
Trigonometry Right Angled Triangle. Hypotenuse [H]
5.3 Apply the SINE and COSINE ratios We will look at the TANGENT ratio tomorrow!
8-4 Sine, Cosine, and Tangent Ratios Chapter 8 Section 4 Mrs. Brook.
Lesson 46 Finding trigonometric functions and their reciprocals.
5.3 Apply the SINE and COSINE ratios 5.1, 5.3 HW Quiz: Wednesday Quiz: Friday Midterm: Oct. 6.
List all properties you remember about triangles, especially the trig ratios.
8-5 The Tangent Ratio. Greek for “Triangle Measurement” You will need to use a scientific calculator to solve some of the problems. (You can find.
Learning Objective: To be able to describe the sides of right-angled triangle for use in trigonometry. Setting up ratios Trig in the Calculator.
Sec 2.1 Trigonometric Functions of Acute Angles October 1, 2012.
Right Triangle Trigonometry Sine, Cosine, Tangent.
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.
DOUBLE ANGLES. Let B =A sin (A + A) = sinA cosA + cosA sinA sin 2A = 2 sin A cos A Let B =A Since, cos 2 A + sin 2 A = 1 cos 2A = cos 2 A – ( 1 – cos.
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.
Basic Trigonometry. Parts of a Right Triangle Imagine that you are at Angle A looking into the triangle. The adjacent side is the side next to Angle A.
Sine, Cosine, Tangent. 8.7 Sine, Cosine, And Tangent Essential Question: How do you find the side lengths of a triangle that is not special?
TRIGONOMETRY BASIC TRIANGLE STUDY: RATIOS: -SINE -COSINE -TANGENT -ANGLES / SIDES SINE LAW: AREA OF A TRIANGLE: - GENERAL -TRIGONOMETRY -HERO’S.
Warm up 1. Name the three trig ratios you learned last time. 2.Write the three trig functions as ratios. 3.What is sinA? cosA? tanB? A B C 4 m 3 m 5 m.
3 May 2011 no clickers Algebra 2. Pythagorean Thm & Basic Trig 5/3 Pythagorean Theorem Pythagorean Theorem: a 2 + b 2 = c 2 *only true for right triangles*
Get a calculator!. Trigonometry Trigonometry is concerned with the connection between the sides and angles in any right angled triangle. Angle.
Bellringer Angle A (or θ) = a = 1, b =, and c = 2.
How would you solve the right triangles: 1)2) 12 x 1663° x y 14 28°
Trigonometric Ratios Contents IIntroduction to Trigonometric Ratios UUnit Circle AAdjacent, opposite side and hypotenuse of a right angle.
Introduction to Trigonometry Lesson 9.9. What is Trigonometry? The shape of a right triangle is determined by the value of either of the other two angles.
Geometry Notes Lesson 5.3B Trigonometry T.2.G.6 Use trigonometric ratios (sine, cosine, tangent) to determine lengths of sides and measures of angles in.
4.3 Right Triangle Trigonometry Trigonometric Identities.
Geometry 8.5 The Tangent Ratio. Trigonometry The word trigonometry comes from the Greek words that mean “triangle measurement.” In this course we will.
Objective - To use basic trigonometry to solve right triangles. Angle to Angle Relationships Side to Side Relationships Angle to Side Relationships a b.
Geometry Trigonometry. Learning Outcomes I will be able to set up all trigonometric ratios for a right triangle. I will be able to set up all trigonometric.
Trigonometry Paper 2 Question 5. Trigonometry Overview Right Angled?Find Angle? Inverse: SOH CAH TOA Find Side?Given 2 sides Pythagoras Given 1 side only.
Trigonometry Chapters Theorem.
BY: ANA JULIA ROGOZINSKI (YOLO). -A ratio is a comparison between one number to another number. In ratios you generally separate the numbers using a colon.
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.
[8-3] Trigonometry Mr. Joshua Doudt Geometry pg
Right Triangle Trigonometry Ratios Must label the sides B A C From the marked angle… Hypotenuse- across from the right angle Adjacent – next to.
A = Cos o x H Cosine Rule To find an adjacent side we need 1 side (hypotenuse) and the included angle. A = Cos ° x H A = Cos 60° x 9 A = 0.5 x 9 A = 4.5.
Chapter 7: Right Triangles and Trigonometry Apply The Sine and Cosine Ratios.
TRIGONOMETRIC RATIOS goal: know how to set up different trig ratios.
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.
TRIGONOMETRY Lesson 2: Solving Right Triangles. Todays Objectives Students will be able to develop and apply the primary trigonometric ratios (sine, cosine,
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.
Who remembers the Trig Functions? Sine Sine Tangent Tangent Cosine Cosine.
Adjacent = Cos o x H Cosine Ratio To find an adjacent side we need 1 side (hypotenuse) and the included angle. a = Cos ° x H a = Cos 60° x 9 a = 0.5 x.
There are 3 kinds of trigonometric ratios we will learn. sine ratio cosine ratio tangent ratio Three Types Trigonometric Ratios.
In each triangle, find the length of the side marked x. If required, round your answers to 1d.p. 144 cm x 60 cm 13 mm x 5 mm 55 mm x 40 mm 164 cm x 230.
Solving Right Triangles Given certain measures in a right triangle, we often want to find the other angle and side measures. This is called solving the.
© 2017 SlidePlayer.com Inc. All rights reserved.