{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Pre-Calc Exam Notes 53

Pre-Calc Exam Notes 53 - The Law of Tangents Section 2.3 53...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
The Law of Tangents Section 2.3 53 Example2.12 Can a triangle have the parts a = 6, b = 7, c = 9, A = 55 , B = 60 , and C = 65 ? Solution: Before using Mollweide’s equations, simpler checks are that the angles add up to 180 and that the smallest and largest sides are opposite the smallest and largest angles, respectively. In this case all those conditions hold. So check with Mollweide’s equation (2.22): a + b c = cos 1 2 ( A B ) sin 1 2 C 6 + 7 9 = cos 1 2 (55 60 ) sin 1 2 (65 ) 13 9 = cos ( 2 . 5 ) sin 32 . 5 1 . 44 = 1 . 86 Here the difference is far too large, so we conclude that there is no triangle with these parts. We will prove the Law of Tangents and Mollweide’s equations in Chapter 3, where we will be able to supply brief analytic proofs. 6 Exercises For Exercises 1-3, use the Law of Tangents to solve the triangle ABC . 1. a = 12, b = 8, C = 60 2. A = 30 , b = 4, c = 6 3. a = 7, B = 60 , c = 9 For Exercises 4-6, check if it is possible for a triangle to have the given parts.
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern