Math 10 Lesson 11 5.4 (2) Trig Ratios cont..

Slides:



Advertisements
Similar presentations
Trigonometry Review of Pythagorean Theorem Sine, Cosine, & Tangent Functions Laws of Cosines & Sines.
Advertisements

Measurment and Geometry
Trigonometry (RIGHT TRIANGLES).
Trigonometry-7 Trigonometry in Four Quadrants. Trigonometry The Four Quadrants Co-ordinates in the First Quadrant Trig Ratios in the First Quadrant Co-ordinates.
EXAMPLE 5 Find leg lengths using an angle of elevation SKATEBOARD RAMP You want to build a skateboard ramp with a length of 14 feet and an angle of elevation.
Right Angle Trigonometry These relationships can only be used with a 90 o angle. SOH CAH TOA can be used to help remember the ratios A Adjacent Opposite.
Math 416 Trigonometry.
Lesson 7-5 Right Triangle Trigonometry 1 Lesson 7-5 Right Triangle Trigonometry.
1 Practice Problems 1.Write the following to 4 decimal places A)sin 34 o = _____ B) cos 34 o = _____ C)tan 4 o = _____ D) cos 84 o = _____ E)tan 30 o =
Warm up 100 ft x 45° 51.3° Find x. Round to the nearest foot. x = 25 ft.
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 midpoint of is M(-4,6). If point R is (6, -9), find point J.
13.1 – Use Trig with Right Triangles
_______º _______ rad _______º ________ rad ­­­­ _______º _______ rad _______º _______ rad ­­­­ _______º _______ rad ______º _______ rad Unit Circle use.
Trigonometry 2. Finding Sides Of Triangles. L Adj’ Hyp’ 21m 23 o …………….
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.
Chapter 8.3: Trigonometric Ratios. Introduction Trigonometry is a huge branch of Mathematics. In Geometry, we touch on a small portion. Called the “Trigonometric.
Trigonometric Ratios and Their Inverses
Geometry A BowerPoint Presentation.  Try these on your calculator to make sure you are obtaining the correct answers:  tan 60° =  cos 25° =
Lesson 7-4 Right Triangle Trigonometry 2 Lesson 7-4 Right Triangle Trigonometry.
Right Triangle Trigonometry Trigonometry is based upon ratios of the sides of right triangles. The six trigonometric functions of a right triangle, with.
7.5 & 7.6– Apply the Sin-Cos-Tan Ratios. Hypotenuse: Opposite side: Adjacent side: Side opposite the reference angle Side opposite the right angle Side.
Right Triangle Trig: Finding a Missing Angle. Finding an angle. (Figuring out which ratio to use and getting to use the 2 nd button and one of the trig.
SIMILAR TRIANGLES SIMILAR TRIANGLES have the same shape, but not necessarily the same size.
Warm up Solve for the missing side length. Essential Question: How to right triangles relate to the unit circle? How can I use special triangles to find.
Chapter 9 - Trigonometry. Trigonometry: tri’gonon - triangle met’ron - measure.
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.
Date: Topic: Trigonometry – Finding Side Lengths (9.6) Warm-up: A B C 4 6 SohCahToa.
Lesson 46 Finding trigonometric functions and their reciprocals.
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.
13.1 Right Triangle Trigonometry ©2002 by R. Villar All Rights Reserved.
Trigonometry Lesley Soar Valley College Objective: To use trigonometric ratios to find sides and angles in right-angled triangles. The Trigonometric.
Solving Right Triangles using Trigonometry. Labeling a Right Triangle  In trigonometry, we give each side a name according to its position in relation.
Solve the triangle below. Round answers to nearest tenth.
Convert Angles in Degrees to Degree and Minutes and vice versa.
Use the tangent of an acute angle to find a leg length.
Tangent Ratio.
TRIGONOMETRY.
A triangle in which one angle is a right angle is called a right triangle. The side opposite the right angle is called the hypotenuse, and the remaining.
RIGHT TRIANGLE TRIGONOMETRY
Trigonometry By: Jayden and Mr.D..
Pythagoras’ theorem Take a right-angled triangle with sides of 5cm, 4cm and 3cm. Draw squares off each side of the triangle.
Warm Up: Revision of Pythagoras and Trigonometry
Trigonometry Trigonometry is concerned with the connection between the sides and angles in any right angled triangle. Angle.
…there are three trig ratios
Sine Function 1 Max value 1 when x = 90o Mini value -1 when x = 270o 1
Pythagorean triples.
Trigonometry (4103).
…there are three trig ratios
7.3 Finding Missing Parts Objectives: • Write trigonometric ratio’s
Introduction to Trigonometry.
Right Triangle Trigonometry
29 November 2018 Trigonometry
Trigonometry Learning Objective:
Right Triangle Trigonometry
02 January 2019 Trigonometry Learning Objective:
Right Triangle 3 Tangent, Sine and Cosine
Trig Ratios C 5 2 A M 4. If C = 20º, then cos C is equal to:
(1) Trig Solutions Tan x 35o 7 S H O C H A T A O
Trigonometry.
Review: Find the missing measures. Write all answers in radical form.
Important Idea r > 0 opp hyp adj hyp opp adj.
RIGHT OPPOSITE HYPOTENUSE ADJACENT HYPOTENUSE OPPOSITE ADJACENT
Right Triangle Trigonometry
Trigonometry (Continued).
Quick Question: Find the missing side of this triangle.
Geometry Right Triangles Lesson 3
…there are three trig ratios
Presentation transcript:

Math 10 Lesson 11 5.4 (2) Trig Ratios cont.

Review Yesterday, you created a table of values for 10, 20, etc. An easier way is to look at the table in the back of your textbook there is a complete table of all angles. You will be given this during tests and quizzes.

Example 1 60° Missing Side Length: 50 m 1) Determine ratio to use tan θ = opp adj 2) Fill in what you know Tan 60° = 50 x X 3) Use table to determine tan 60° 1.7321 = 50 X 4) Cross multiply and divide 1.7321 x = 50 1.7321 x = 50 1.7321 1.7321 X = 28.9 m 60°

Example 2 Missing Angle 1) Determine ratio sin θ = opp 5 cm hyp 2) Fill in what you know sin x = 4 5 4 cm 3) Divide side lengths sin x = 0.80 4) Use table to determine sin x = 0.80 x = 53°

Let’s Try together… You Try…. Do questions 12, 13a (i), 14ab” Do Activity sheet: “What Do They Call the Big Grass Field on an Orbiting Satellite?