Tonight's homework:
- Please complete questions 9-14 on the "Worksheet--The Basic 8 Trig Identities" provided in class (or below).
- #14 is pretty tough! Here's some help...
- To start, let's just deal with the fraction--we'll worry about the "+1" at the end...
- First, use a Pythagorean Identity to substitute for the numerator of the fraction...
- Next, factor this numerator--we have a difference of two perfect squares! (If you don't remember how to factor a difference of squares, look it up!)
- After we factor this numerator we can now "cancel out" one of the "terms in parentheses"
- Now we should be left with (secx -1) + 1...
- Combine like terms and we get secx!
- And here are the answers so you can check yours:
- 9.) 1
- 10.) sin^2(x)
- 11.) sin^2(x)
- 12.) sin^2(x)
- 13.) cot(x)
- 14.) sec(x)
Tonight's Homework:
Tomorrow (Thursday) in class we'll keep working with identities--with a quiz?!
Then on Friday I will be out--you'll have some more identities to complete (sub work) that will be collected and graded; then, it's back to the unit circle--after you finish your identities you'll be given a blank unit circle to fill out!
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