Download presentation

Presentation is loading. Please wait.

Published byNicolas Holroyd Modified over 3 years ago

1
The Tangent Ratio CHAPTER 7 RIGHT TRIANGLE TRIGONOMETRY

2
You will need a protractor for this activity 1. Each person draw a right triangle ( ∆ ABC) where ﮮ A has a measure of 30º. 2. Each person in the group should draw the triangle with different side lengths, then measure the legs using inches. 3. Compute the ratio leg opposite ﮮ A leg adjacent ﮮ A 4. Compare the ratio with the others in the group. Make a conjecture.

3
Trigonometry and the Tangent Ratio Objectives: Use tangent ratios to determine side lengths in triangles Now, we will use Trigonometry (triangle measure). We will investigate 3 of the 6 trigonometric functions: tangent sine cosine Previously, to find measures in a right triangle, we used: Pythagorean Theorem Distance Formula 30-60-90 or 45-45-90 special right triangles theorems

4
Trigonometry and the Tangent Ratio Tangent Ratio: In a right triangle, the ratio of the length of the leg opposite ﮮ P to the length of the leg adjacent to ﮮ P In a right triangle, the ratio of the length of the leg opposite ﮮ P to the length of the leg adjacent to ﮮ P. This is called the tangent ratio. Tangent of ﮮ P = opposite leg adjacent leg

5
Write a Tangent Ratio Write the tangent ratios for ﮮ T and ﮮ U. tan T = opp = UV = 3 adj TV 4 tan U = opp = TV = 4 adj UV 3

6
what is a tangent ratio? We use tangent ratios to determine side lengths and angles in right triangles. In a right triangle, the ratio of the length of the leg opposite to an angle to the length of the leg adjacent to the same angle. This ratio is always constant

7
The Tangent Ratio Tangent of

8
Writing Tangent Ratios Write the tangent ratios for

9
Find the Tangent Ratios Find the tangent ratios for
{
"@context": "http://schema.org",
"@type": "ImageObject",
"contentUrl": "http://images.slideplayer.com/12/3431276/slides/slide_9.jpg",
"name": "Find the Tangent Ratios Find the tangent ratios for

10
Find the Tangent Ratios Find the tangent ratios for
{
"@context": "http://schema.org",
"@type": "ImageObject",
"contentUrl": "http://images.slideplayer.com/12/3431276/slides/slide_10.jpg",
"name": "Find the Tangent Ratios Find the tangent ratios for

11
Solve for the missing side Find the value of w to the nearest tenth: 54° 10 w Start at 54°. We have sides opposite and adjacent of that angle. We can use tangent to solve for the missing side. Set up the tangent ratio: tan 54 = w 10 Cross multiply w = (tan 54)(10) w = 13.8

12
Solve for the missing side Find the value of w to the nearest tenth: 57° 2.5 w Start at 57°. We have sides opposite and adjacent of that angle. We will use tangent to solve for the missing side. Set up the tangent ratio: tan 57 = w 2.5 Cross multiply w = (tan 57)(2.5) w = 3.8

13
Solve for the missing side Find the value of w to the nearest tenth: 28° 1 w Start at 28°. We have sides opposite and adjacent of that angle. We will use tangent to solve for the missing side. Set up the tangent ratio: tan 28 = 1 w Cross multiply (tan 28)(w) = 1Divide by tan 28 w = 1 tan 28 w = 1.9

14
The Tangent Ratio CHAPTER 7 RIGHT TRIANGLE TRIGONOMETRY Solving for Angle Measures

15
Using the Inverse of Tangent The Inverse Tangent Button on your calculator looks like this: tan -1 (You must press the “2nd” or “SHIFT” or “INV” Button and then press “tan”) *We use inverse tangent when solving for a missing angle measure

16
Using Inverse Tangent Find the m < X to the nearest degree: H B X 5 8 We will use tangent to find the measure of

17
Using Inverse Tangent Find the m < Y to the nearest degree: Y TP 25 23 We will use tangent to find the measure of

Similar presentations

OK

Lesson 9.9 Introduction To Trigonometry Objective: After studying this section, you will be able to understand three basic trigonometric relationships.

Lesson 9.9 Introduction To Trigonometry Objective: After studying this section, you will be able to understand three basic trigonometric relationships.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on topic why do we fall ill Ppt on critical thinking Ppt on idiopathic thrombocytopenia purpura genetic Ppt on sbi life insurance Ppt on live line maintenance tools Ppt on switching devices verizon Ppt on professional ethics for teachers in india Ppt on economic order quantity models Ppt on environmental pollution and control Ppt on founder of facebook