So sorry to run out on you all today... I had a family emergency. Hope you were able to use the formulas and examples to figure out Law of Cosines.
I actually ignore most of those formulas and stick to
c^2 = a^2 + b^2 - 2ab cos C
Everything else is just related to this.
Heron's Formula is just a method (derived from law of cosines) to find area of a triangle based on the lengths of the sides and half the perimeter of the triangle.
I am sure the HW is a little long as each question is asking for all the missing info. I will post the answers to any evens later. You can find odd answers on calcchat.com
Hope the quiz went well. I will have those graded for you to get back tomorrow. We will quiz Law of Cosines on Friday and test 6.1-2 on Tuesday. Meanwhile I'll be starting to teach vectors before we test 6.1-2. There is a formula sheet for the quiz 6.2 and the test.
In the last class you had a chance to look at the answers to the worksheet, check with each other, understand that SAS does not work because you don't know the side opposite the angle that you DO know. You looked at the examples and info about Law of Cosines in the book and received HW #6 to work on when you finished your quiz.
HW #6: pp 413-4: 5,7,9, 11, 37, 39, 45, 47, 52, 53, 61, 62.
Answers to 52: distance is about 1357.8 mi; bearing is N 56 E. (sketch attached); #62 is false... Law of Cosines has to have at least two sides or you have too many variables.
Quiz is not til FRIDAY!! Worksheet over 6.2 next time with more notes. Unit Review worksheet also assigned.
I actually ignore most of those formulas and stick to
c^2 = a^2 + b^2 - 2ab cos C
Everything else is just related to this.
Heron's Formula is just a method (derived from law of cosines) to find area of a triangle based on the lengths of the sides and half the perimeter of the triangle.
I am sure the HW is a little long as each question is asking for all the missing info. I will post the answers to any evens later. You can find odd answers on calcchat.com
Hope the quiz went well. I will have those graded for you to get back tomorrow. We will quiz Law of Cosines on Friday and test 6.1-2 on Tuesday. Meanwhile I'll be starting to teach vectors before we test 6.1-2. There is a formula sheet for the quiz 6.2 and the test.
In the last class you had a chance to look at the answers to the worksheet, check with each other, understand that SAS does not work because you don't know the side opposite the angle that you DO know. You looked at the examples and info about Law of Cosines in the book and received HW #6 to work on when you finished your quiz.
HW #6: pp 413-4: 5,7,9, 11, 37, 39, 45, 47, 52, 53, 61, 62.
Answers to 52: distance is about 1357.8 mi; bearing is N 56 E. (sketch attached); #62 is false... Law of Cosines has to have at least two sides or you have too many variables.
Quiz is not til FRIDAY!! Worksheet over 6.2 next time with more notes. Unit Review worksheet also assigned.