We went over the fact that we have a regular textbook homework assignment assigned today, but that on Monday even though juniors won't have class because of the science exam, our homework assignment will be to finish our final draft of the project. That is due on midnight on March 31. March 31 is also our supercorrection follow-up test.
Today we started Unit 6, which is continuing on with trigonometry. Mr. O'Brien put an equation on the board, and asked us to solve it either by graphing or by using a table:
We decided that x is all real numbers, except π/2 + πk, k∈Z
We then started working on proofs, and proved that the two sides of the equation were equal.
We looked in our textbooks at page 374 (the beginning of chapter 5.1) at the list of fundamental trigonometric identities. This included the reciprocal identities, quotient identities, Pythagorean identities, cofunction identities, and even/odd identities. I won't post them here because you can find them in your textbook. We went over the fact that:
Mr. O'Brien explained that
We went over the identities, and then looked at the examples in the book.
Ex. 1: Mr. O'Brien pointed out that the book doesn't use a triangle, but rather uses the identities. He said that he doesn't really care if, going forward, we use triangles or identities.
Ex. 3: Mr. O'Brien suggested that it could be easier to substitute a variable such as u for tan θ to factor something like this.
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