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Ppt On Some Applications Of Trigonometry Class 10 Download Now SavePpt on Trigonometry Class 10 Uploaded by Priyanka Garg 0 0 upvotes 0 0 downvotes 30 views 14 pages Document Information click to expand document information Description: trigno Date uploaded Apr 01, 2016 Copyright All Rights Reserved Available Formats PPT, PDF, TXT or read online from Scribd Share this document Share or Embed Document Sharing Options Share on Facebook, opens a new window Facebook Share on Twitter, opens a new window Twitter Share on LinkedIn, opens a new window LinkedIn Share with Email, opens mail client Email Copy Text Copy Link Did you find this document useful 0 0 upvotes, Mark this document as useful 0 0 downvotes, Mark this document as not useful Is this content inappropriate Report this Document Download Now save Save 154427867 Ppt on Trigonometry Class 10 For Later 30 views 0 0 upvotes 0 0 downvotes 154427867 Ppt on Trigonometry Class 10 Uploaded by Priyanka Garg Description: trigno Full description save Save 154427867 Ppt on Trigonometry Class 10 For Later 0 0 upvotes, Mark this document as useful 0 0 downvotes, Mark this document as not useful Embed Share Print Download Now Jump to Page You are on page 1 of 14 Search inside document. Browse Books Site Directory Site Language: English Change Language English Change Language. Well even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. Click to allow Flash After you enable Flash, refresh this page and the presentation should play. Loading. PPT Chapter 10: Applications of Trigonometry Vectors PowerPoint presentation free to view - id: 12c483-NTc0Y The Adobe Flash plugin is needed to view this content Get the plugin now. B to side AC.. 10.1 Ambiguous Case for Obtuse Angle A. Solving the. PowerPoint PPT presentation. Angle-Side-Angle (ASA) If two angles and the included side of one triangle are equal, respectively, to two angles and the included side of a second triangle, then the triangles are congruent. Side-Side-Side (SSS) If three sides of one triangle are equal to three sides of a second triangle, the triangles are congruent. Data Required for Solving Oblique Triangles Case 1 One side and two angles known SAA or ASA Case 2 Two sides and one angle not included between the sides known SSA This case may lead to more than one solution. Case 3 Two sides and one angle included between the sides known SAS Case 4 Three sides are known SSS 4 10.1 Derivation of the Law of Sines Start with an acute or obtuse triangle and construct the perpendicular from B to side AC. ![]() The Law of Sines In a similar way, by constructing perpendiculars from other vertices, the following theorem can be proven. Alternative forms are sometimes convenient to use Law of Sines In any triangle ABC, with sides a, b, and c, 6 10.1 Using the Law of Sines to Solve a Triangle Example Solve triangle ABC if A 32.0, B 81.8, and a 42.9 centimeters. Solution Draw the triangle and label the known values. Because A, B, and a are known, we can apply the law of sines involving these variables. Using the Law of Sines to Solve a Triangle To find C, use the fact that there are 180 in a triangle. Now we can find c. Using the Law of Sines in an Application (ASA) Example Two stations are on an east-west line 110 miles apart. A forest fire is located on a bearing of N 42 E from the western station at A and a bearing of N 15 E from the eastern station at B. How far is the fire from the western station Solution Angle BAC 90 42 48 Angle B 90 15 105 Angle C 180 105 48 27 Using the law of sines to find b gives 9 10.1 Ambiguous Case If given the lengths of two sides and the angle opposite one of them, it is possible that 0, 1, or 2 such triangles exist. Some basic facts that should be kept in mind For any angle, 1 sin 1, if sin 1, then 90 and the triangle is a right triangle. Since sin A cannot be greater than 1, the triangle does not exist. Solving the Ambiguous Case Two Triangles Example Solve the triangle ABC if A 55.3, a 22.8 feet, and b 24.9 feet. Solution 14 10.1 Solving the Ambiguous Case Two Triangles To see if B2 116.1 is a valid possibility, add 116.1 to the measure of A 116.1 55.3 171.4. Since this sum is less than 180, it is a valid triangle. Now separate the triangles into two AB1C1 and AB2C2. Solving the Ambiguous Case Two Triangles Now solve for triangle AB2C2. Number of Triangles Satisfying the Ambiguous Case Let sides a and b and angle A be given in triangle ABC. The law of sines can be used to calculate sin B.) If sin B gt 1, then no triangle satisfies the given conditions. If sin B 1, then one triangle satisfies the given conditions and B 90. If 0 lt sin B lt 1, then either one or two triangles satisfy the given conditions If sin B k, then let B1 sin-1 k and use B1 for B in the first triangle. Let B2 180 B1. If A B2 lt 180, then a second triangle exists. In this case, use B2 for B in the second triangle. Solving the Ambiguous Case One Triangle Example Solve the triangle ABC, given A 43.5, a 10.7 inches, and c 7.2 inches. Solution The other possible value for C C 180 27.6 152.4. Add this to A 152.4 43.5 195.9 gt 180 Therefore, there can be only one triangle. Solving the Ambiguous Case One Triangle. PowerShow.com is a leading presentationslideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use. Ppt On Some Applications Of Trigonometry Class 10 How To Do SomethingOr use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. 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