Trig Review: PRE-AP Trigonometry Review Remember right triangles? hypotenuse θ Opposite side Adjacent side Triangles with a 90º angle.

Slides:



Advertisements
Similar presentations
Trigonometry Right Angled Triangle. Hypotenuse [H]
Advertisements

Trigonometry Review of Pythagorean Theorem Sine, Cosine, & Tangent Functions Laws of Cosines & Sines.
Let’s Play What have you learned about Analytic Geometry?
TODAY IN GEOMETRY…  Review: Methods solving for missing sides of a right triangle  Learning Target: 7.6 Finding an angle using inverse Trigonometry 
Trigonometric Ratios A RATIO is a comparison of two numbers. For example; boys to girls cats : dogs right : wrong. In Trigonometry, the comparison is between.
Chapter 5 Introduction to Trigonometry: 5
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.
Trigonometry Chapters Theorem.
Basic Trigonometry.
60º 5 ? 45º 8 ? Recall: How do we find “?”. 65º 5 ? What about this one?
Trigonometry (RIGHT TRIANGLES).
Using Trigonometric Ratios
Right Triangle Trigonometry
A B C Warm UP What side is The hypotenuse? What side is opposite  A?
Trigonometric Ratios A RATIO is a comparison of two numbers. For example; boys to girls cats : dogs right : wrong. In Trigonometry, the comparison is between.
Warm Up 1.What is the Pythagorean Theorem (formula)? Solve for the missing side of each of the following triangles:
ACT Math Test Essential Knowledge. Area of a Circle.
Unit 1 – Physics Math Algebra, Geometry and Trig..
Warmup: What is wrong with this? 30 ⁰. 8.3 and 8.4 Trigonometric Ratios.
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.
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 Primer. What is Trigonometry  Trig deals with triangles. Usu. right triangles.  Why is trig useful in physics? Because many kinds of motion.
Trigonometric Ratios in Right Triangles. Trigonometric Ratios are based on the Concept of Similar Triangles!
7-1: Special Right Triangles and Trigonometric Ratios
7-3A Trigonometric Ratios What is trigonometry? What is sine? What is cosine? What is tangent?
8.5 and 8.6 Trigonometric Ratios
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 A RATIO is a comparison of two numbers. For example; boys to girls cats : dogs right : wrong. In Trigonometry, the comparison is between.
Section 1 – Trigonometry and the Graphing Calculator After this section, you should be able to show that you can: Know the SIX trig. functions Change degree-minutes.
Right Triangle Trigonometry Three Basic Trig Ratios: sin θ = opposite/hypotenuse cos θ = adjacent/hypotenuse tan θ = opposite/adjacent Adjacent Side Hypotenuse.
Triangle Author: Kit Date: Introduction In this slide show, we will talk about the right triangle and some properties Pythagoras’ Theorem.
Warm- up What do you remember about right triangles?
Trigonometry Basics Right Triangle Trigonometry.
1 Trigonometry Basic Calculations of Angles and Sides of Right Triangles.
Basics of Trigonometry Click triangle to continue.
Trigonometric Ratios A RATIO is a comparison of two numbers. For example; boys to girls cats : dogs right : wrong. In Trigonometry, the comparison is between.
World 5-1 Trigonometric Ratios. Recall that in the past finding an unknown side of a right triangle required the use of Pythagoras theorem. By using trig.
Chapter : Trigonometry Lesson 3: Finding the Angles.
Trigonometry Ratios.
Using SOHCAHTOA Trigonometry. In each of the following diagrams use SIN to find the angle x correct to 1 decimal place x x x
Right Angle Trigonometry Pythagorean Theorem & Basic Trig Functions Reciprocal Identities & Special Values Practice Problems.
9.4 Using Trigonometry to Find Missing Sides of Right Triangles.
Trigonometry Chapters Theorem.
(1) Sin, Cos or Tan? x 7 35 o S H O C H A T A O Answer: Tan You know the adjacent and want the opposite.
Chapter 13 Right Angle Trigonometry
4.3 Right Triangle Trigonometry Trigonometric Identities.
Good Morning, Precalculus! To prepare for class: 1. Please find your DO NOW sheet and start today's DO NOW! Do Now: 1) Check to make sure your calculator.
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.
TRIGONOMETRY – Functions 1 We will now place the angle in the x–y plane. The initial side of the angle will always be placed on the (+) side of the x –
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.
A Quick Review ► We already know two methods for calculating unknown sides in triangles. ► We are now going to learn a 3 rd, that will also allow us to.
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.
Trig Functions – Part Pythagorean Theorem & Basic Trig Functions Reciprocal Identities & Special Values Practice Problems.
13.1 Right Triangle Trigonometry ©2002 by R. Villar All Rights Reserved.
5.2 Trigonometric Ratios in Right Triangles. A triangle in which one angle is a right angle is called a right triangle. The side opposite the right angle.
Trigonometric Functions
Basic Trigonometry We will be covering Trigonometry only as it pertains to the right triangle: Basic Trig functions:  Hypotenuse (H) Opposite (O) Adjacent.
Right Triangle Trigonometry
Pythagoras’ Theorem and Trigonometry
Everything you need to know about trig for this class…
You will need a calculator and high lighter!
Warm – Up: 2/4 Convert from radians to degrees.
Aim: How do we review concepts of trigonometry?
Using Tangent, Sine and Cosine to find Sides of RIGHT TRIANGLES
Right Triangle Trigonometry
Junior Cert TRIGONOMETRY.
Introduction to Trigonometric Functions
Presentation transcript:

Trig Review: PRE-AP Trigonometry Review Remember right triangles? hypotenuse θ Opposite side Adjacent side Triangles with a 90º angle

Trig Review: PRE-AP Trigonometry Review Pythagorean Theorem – C is always the hypotenuse Remember: a 2 + b 2 = c 2 Side c θ Side b Side a

Trig Review: PRE-AP Trigonometry Review sin θ = opposite / hypotenuse cos θ = adjacent / hypotenuse tan θ = opposite / adjacent hypotenuse θ Opposite side Adjacent side Remember: “SOH-CAH-TOA”

Trig Review: PRE-AP Basic Practice: Use your calculator (make sure it is in degree mode) to find: 1) sin40º = ________ 2) cos32º = ________ 3) cos90º = ________ 4) sin90º = ________ 5) tan20º = ________

Trig Review: PRE-AP Basic Practice: Find the angle, θ : 1) sinθ = ) cosθ = ) tan θ =

Trig Review: PRE-AP Let’s apply to a triangle Find side C C 18 m 20º

Trig Review: PRE-AP Let’s apply to a triangle Find side B B 35º 10 m

Trig Review: PRE-AP Let’s apply to a triangle Find angle a 13 m a 10 m

Trig Review: PRE-AP Let’s apply to a triangle Find side c 13 m a 10 m c