Proof of the law of cosines | Application of Trigonometry | Ex:12.4 Math 11 Unit 12

Proof of the law of cosines to solve for a side of a triangle when 2 sides and an angle are known.
This lecture series will cover the concept for the First Year mathematics of PUNJAB TEXT BOOK BOARD. This chapter is also included in the books other Text Book Boards of Pakistan. Other than the Book, viewer may find some of its topics for his concept building. A viewer may also find this topic helpful for the ENTRY TEST preparation.
We have learnt to solve the Right Angle Triangles in previous lectures. In order to solve the oblique triangles, one need formulas other than the trigonometric ratios. For that purpose we are driving these laws. Firstly we have derived Law of Cosine, this law can be stated in three different ways and can be proved by making suitable changes in the proof for one formula. Here we have proved only one of them. One only need to change the side of triangle along the positive x-axis in order to prove the rest of two formulas.
In this video you will learn the basic and advance concepts of mathematics in Urdu. Everything is easily explained one can understand and learn math at home. #punjabboard #federalboard #importantquestions #fsc #12maths #class11maths #class11 #trigonometric #trigonometricidentities #cosinefunction #cosinelaw #proof #proofofconcept
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