Passed back assessments. Learned about the law of sines, when to use (and when not to use), and did examples finding both side lengths and angles (requiring the use of some inverse trig).
Notes from board
(includes additional examples worked out)
Homework
handout #1-10 [blank copy]
Resources
excellent examples of law of sines worked out: link1 link2
Warm up involved using trigonometry to do an indirect measurement, requiring the use of either traditional right triangle trig or the law of sines if so desired. Went over hw, then did another Law of Sines problem involving inverse trig to find an unknown angle. Looked over the scenarios where one might use the law of sines versus when one can use the law of cosines in terms of triangle congruence criteria, then explained what the Law of Cosines is/looks like and worked out examples solving for both side lengths (SAS) and unknown angles (SSS). Here is the proof of the law of cosines if you are interested: link
Notes from board
Homework
same handout as Monday, #11-15 [blank copy]
Resources
law of cosines example, solving for a missing side (SAS) link
law of cosines example, solving for angle (SSS): link
finding all the missing angles when given the sides: link1 link2 (feat me!!)
Did applied trigonometry in real world contexts with the laws of sines and cosines, looking for missing side lengths. Gave out practice assessment.
Notes from board
Homework
complete, then check solutions for the practice assessment (blank copy) (SOLUTIONS)
assessment is Monday 3/5
Resources
using the law of sines (helps with #1 mostly): link1 link2
using the law of sines and cosines to find length (just like #2) link to video by me :)
finding a specific angle in an SSS triangle (like #3) first half of this video
applying soh-cah-toa trig to right triangle contextual problems (like #4) link
recognizing 45-45-90 pattern and using it (like #5) link1 link2
solving 30-60-90 right triangles (like #6) link1 link2
sine and cosine of complementary angles (like #7) concept explained examples