1. In Unit Q, we learned how to verify functions. When we verify functions, it basically means that we use the ratio identities, reciprocal identities, and the pythagorean identities in various order to simplify the equation further. We would only use the identities on the left side and NOT use the identities on the right side. We just want the right side to equal the newly simplified left side.
2. To begin with, when verifying expressions make sure to list out the steps made neatly, so later on you can pinpoint mistakes. I found it useful to convert everything into sine and cosine. When we convert the expressions, then it would lead to canceling out terms and lead to a Pythagorean identity that equals zero. Also, you can factor out a least common denominator because it could lead to finding more properties within the expression.
3. First thing I think about when I look at an identity is to see what identities are present in the problem. Then I see if there is a greatest common factor to factor out to make it easier to simplify. I also look to see if I need to get a common denominator. If there is a binomial in the denominator then you would multiply by the conjugate. You could also combine or separate denominators. TIP: Memorize the identities and know where you can use them, it will make it EASIER to solve.
No comments:
Post a Comment