## Daily Overview

Hello Folks,

Today we focused on the ambiguous case of the sine law. A tricky little situation when we are using the sine law to solve for an angle of a triangle and we actually get two solutions!

This is kind of like when solving x^2 = 4 and we have two solutions: x = 2 and x = -2. You will see more of this when Mrs. Ackerman teaches you about quadratics! Anyway, back to trigonometry...

My lesson plan is attached below.

Today we focused on the ambiguous case of the sine law. A tricky little situation when we are using the sine law to solve for an angle of a triangle and we actually get two solutions!

This is kind of like when solving x^2 = 4 and we have two solutions: x = 2 and x = -2. You will see more of this when Mrs. Ackerman teaches you about quadratics! Anyway, back to trigonometry...

**This is based off of part of section 2.3 of your text book.**My lesson plan is attached below.

lessonplan_lesson7_sinelaw_ambigcase.pdf |

## GeoGebra Applets

The GeoGebra applets that I used in class can be started by clicking the buttons below

## Homework

Do the following problems from Section 2.3 of your text book, pages 108 - 113:

#6, 8, 11, 24

#6, 8, 11, 24

**Due: Monday, February 24**

**Homework Expectations:**

I expect that all homework will be neatly completed on a sheet(s) of loose leaf paper with your full name at the top. Each question should be stated and all necessary steps shown with your final answer clearly indicated (e.g. draw necessary diagrams). I also expect you to check your solutions against those in the back of the book and make corrections as necessary. I will give your assignment a score**out of**based upon how well you satisfy these expectations.**4****Simply stating the final answer is not good enough! I want to see how you came up with them.**## Challenge Puzzle

Pretend that the sine law (or a law like it) was stated using cosine instead of sine. Could there exist an ambiguous case? Why or why not?

*Hint: This is related to why there is no ambiguity in the obtuse case.*