1 / 13

9.1 The Tangent Ratio

9.1 The Tangent Ratio. Chapter 9 Right Triangle Trigonometry. 9.1 The Tangent Ratio. A. Tangent of <A : Length of the leg opposite <A Length of the leg adjacent to <A. B. C. Tan = opp adj. Writing Tangent Ratios. Write the tangent ratios for <T and <U:. U. tan<T =. 3/4.

tariq
Download Presentation

9.1 The Tangent Ratio

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 9.1 The Tangent Ratio Chapter 9 Right Triangle Trigonometry

  2. 9.1 The Tangent Ratio A • Tangent of <A : Length of the leg opposite <A Length of the leg adjacent to <A B C Tan = opp adj

  3. Writing Tangent Ratios • Write the tangent ratios for <T and <U: U tan<T = 3/4 5 3 tan<U = 4/3 V T 4

  4. Writing Tangent Ratios • Write the tangent ratios for <K and <J: J tan<K = 7/3 7 tan<J = 3/7 L K 3

  5. Find the Tangent Ratios • Find the tangent ratios for <A and <B: A tan <A = 2/1 or 2 1 tan <B = 1/2 C 2 B

  6. Find the Tangent Ratios • Find the tangent ratios for <A and <B: A tan <A = 6/3 or 2 3 tan <B = 3/6 or 1/2 C 6 B

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

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

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

  10. Using the Inverse of Tangent • The Inverse Tangent Button looks like this: tan-1 *We use inverse tangent when solving for a missing angle measure

  11. Using Inverse Tangent • Find the m<X to the nearest degree: We will use tangent to find the measure of <X H Set up the tangent ratio: tan X = 6 8 10 6 Use inverse tangent: X = tan-1 6 8 X B 8 X = 37°

  12. Using Inverse Tangent • Find the m<Y to the nearest degree: We will use tangent to find the measure of <Y Y Set up the tangent ratio: tan Y = 100 41 41 Use inverse tangent: X = tan-1 100 41 P T 100 X = 68°

  13. Practice • Pg 472 1-20, 27-29

More Related