In this blog i will be explaining the new sections we learned in chapter 10 this week. We went over section 10.1, 10.2, and 10.3.

Some of the formulas in section 10.1:

cos(x+/- B) = cosx cosB -+ sinx sinB
sin(x+/-B) = sinx cosB +- cosx sinB

Some of the formulas for 10.2:

tan(x+B)= tanx+tanB/1-tanxtanB
tan(x+B)= tanx-tanB/1+tanxtan
cot(x+B)= 1-cotxcotB/cotx +cotB
cot(x-B)= 1+cotxcotB/cotx-cotB

Sme of the formulas in 10.3;

sin 2x=2sinxcosx
cos 2x= cos^2x- sin^2x

Ex.1

simplify:

tan110-tan50/1+tan110tan50
tan(110-50)
tan(60)
=(Square root)3

Ex.2tan140-tan50/1+tan140tan50

tan(140-50)
tan(90)
=undefined