Kaitlyn's holiday blog 1

chapter 10-1!!!!
this was probably one of the easiest chapters for me, all you need to know is the two formulas and your trig chart and you will be fine.


formulas: sin(A+-B)=sinAcosB+-cosAsinB
cos(A+-B)=cosAcosB-+sinAsinB


*A and B represent different angle numbers.


Examples: find sin75
-sin(45+30)=sin45cos30+cos45sin30
-sin(75)=(squarerootof 2/2)(squarerootof 3/2)+(squarerootof 2/2)(1/2)
-sin(75)=(squarerootof 6/4)+(squarerootof 2/4)
-(squarerootof 6)+(squarerootof 2)/4 <---answerrrrrr


Examples: find cos30
-cos(60-30)=cos60cos30+sin60sin30
-cos(30)=(1/2)(squarerootof 3/2)+(squarerootof 3/2)(1/2)
-cos(30)=(squarerootof 3/4)+(squarerootof 3/4)
-(squarerootof 6/4) <----answerrrrrrr


Examples: simplifyyy sin60cos30+cos60sin30
-sin(60+30)
-sin(90)
- 1 <----answerrrr