Intermediate Algebra Assignment for 6/7

Yesterday we did an activity to review the basics of right triangle trigonometry. Today we reviewed non-right triangle trigonometry. This includes the Law of Sines and Law of Cosines, as well as the sine-based formula for area. Don’t forget about the ambiguous case of the Law of Sines, which arises when you’re given two sides and an adjacent angle (the dreaded SSA arrangement)!

There are not separate notes and homework assignments for this lesson, so I’m uploading both the homework and the answers. We started this work in class, and your homework is to finish it.

Today’s Files

Relevant IXL Modules

Intermediate Algebra Assignment for 3/14

We did some more work with the Law of Cosines today, specifically looking at two cases where it is useful: when given two sides and a single angle between them (SAS) and when given three sides but no angles at all (SSS). Note that this second case is exactly what your poster will feature!

Today’s links

Cumulative IXL Modules

Intermediate Algebra Assignment for 3/13

As we’ve observed in class, in order to use the Law of Sines, you must know (or be able to find easily) an opposite angle-side pair in the triangle. But what if all you have is two sides and an angle? Is there anything we can do with that? Enter the Law of Cosines, a generalization of the Pythagorean Theorem to non-right triangles.

Also, don’t forget about your poster project, due next Tuesday!

Today’s links

Cumulative IXL Modules

Intermediate Algebra Assignment for 3/7

More practice with the Ambiguous Case today! Remember: triangles where two sides and a non-included angle are given could actually refer to two different triangles, one unique triangle, or no valid triangles at all.

Today’s links

  • Homework: HW 7.6 – More Solving Ambiguous Cases
  • Lesson Video – Note that part of the “ambiguity” of the ambiguous case is that the same “SSA” set of information could determine 2, 1, or no triangles at all. We’ll have some more time to practice this in class.

Cumulative IXL Modules

Intermediate Algebra Assignment for 3/6

On Tuesday, we introduced the “Ambiguous Case” of the Law of Sines. Today, we spent some time working on how exactly one handles that situation.

Today’s links

Cumulative IXL Modules

Intermediate Algebra Assignment for 3/5

One possible flaw with the Law of Sines is an issue of ambiguity that arises when trying to use it to find a missing angle measure.

We did an activity in class, so if you missed it you should watch the following short videos to see what it involved (they’re taken from another class that did the same activity): Setup, Partial Solution, Full Solution, Alternate Full Solution

Today’s links

Cumulative IXL Modules