Took assessment on basic SohCahToa trigonometry and similarity within right triangles.
Homework
watch and take notes on this video: link
Passed back assessments, then worked through some more applied trigonometry problems related to finding speed by measuring the angle of elevation/depression at two distinct times. Then looked at how trigonometry used to be done using tables of values and learned how to read a table in two different ways by the analogy of a menu (item input leads to price output; price input leads to item output). Since trig ratios can be thought of as looking up values from a table, this can be inverted and when a ratio is known, angles of the triangle can be calculated using inverse trigonometry. Practiced this, and then practiced "solving" right triangles by finding all missing sides and angles using a combination of trig, inverse trig, the Pythagorean Theorem, and the Triangle Angle Sum Formula (180° in all triangles).
Notes from board
Homework
Do the odds on this handout: link
Resources
great video showing how to find missing sides and angles: link
finding missing sides and then perimeter (made by me!) link
finding missing angle measures using inverse trig (made by me!) link
Thursday/Friday
Warm up was to solve another right triangle by finding all the sides and angles, using both inverse trig and the Pythagorean Theorem. Went over homework, then learned two major trig identities (If A+B=90 then sinA=cosB and cosA=sinB, and tanA=sinA/cosA) and did some test prep problems. Then started learning about extending trig to non-right triangles, which involves something called the Law of Sines. Worked out a few examples, the last of which involved finding an angle as opposed to a side.
Notes from board
Homework
Do #1-4 on this handout, and start the trig stack on the other side
Test: Thursday/Friday of next week
Resources
excellent examples of law of sines worked out: link1 link2
law of sines proof for those interested: link