8-4 Review

So this week we have the lovely trig exam, which I am just sooo excited for. SO since all we did was review and review AND review, I am going to just do my blog on 8-4.

8-4 is on the relationship among functions. This should be pretty easy. But before I can start with examples, i am going to give you a few notes that you need to know.

• The first thing you do is to do all the possible algebra to the problem.
• Once you do everything possible, you would first try to use your pythagorean identities.
• After that you would move everything to sin and cos.
• The next thing you would do is do algebra again.
• Once you do all of that you keep repeating steps 1 through 3 until your problem is completely simplified.

Now you need some formulas.

• cscx=1/sinx
• tanx=sinx/cosx
• cotx=cosx/sinx
• secx=1/cosx
• sin^2x+cos^2x=1
• 1+tan^2x=sec^2x
• 1+cot^2x=csc^2x

Well I guess now that you have all of what you need I'll do an example or two.

Example:  cos^2x+sin^2x

• No algebra can be done.
• So then you look for identies you can use, which this problem is one which means it will equal to 1.
• So you answer is going to be 1.

So that's it for this week. Later

Brad