Nathan's turkey blog

It's Saturday, LSU just lost, im mad and bored, so I might as well get this blog over with so that I can do nothing tommorrow.

I am going to review chapter ten, sections one and two. These were probably the easiest sections since chapter 7.

In section 10-1, we couldn't use calculators, and we needed to know these two formulas:
cos(alpha+-beta)=cos(alpha)cos(beta)-+sin(alpha)sin(beta)
sin(alpha+-beta)=sin(alpha)cos(beta)+-cos(alpha)sin(beta)

Ex. Find the exact value of sin 15.

sin(45-30)=sin45cos30-cos45sin30
=√2/2(√3/2)-√2/2(1/2)
=√6-√2/4

cosπ/4 cosπ/4-sinπ/4 sinπ/4
=cos(π/4+π/4)=cos 2π/4=cosπ/2=0

Section 10-2 deals with the same kind of problem solving; the formulas you need to know is:
tan(alpha+beta)=tan(alpha)+tan(beta)/1-tan(alpha)tan(beta)
tan(alpha-beta)=tan(alpha)-tan(beta)/1+tan(alpha)tan(beta)

tan110-tan50/1+tan110tan50
=tan(110-50)
=tan60
=√3

tan27+tan18/1-tan27tan18
=tan(27+18)
=tan45
=1

Another easy section was 13-1. This section dealt with arithmetic and geometric sequences. An arithmetic sequence is when you add or subtract the numbers. A geometric sequence is when you multiply or divide to get the next number.

Ex. In a geometric sequence, t3=12 and t6=96, find t11
96/12=8
r^3=8
r=2

tn=3*2^11-1
t11=3*2^10
t11=3*1024
t11=3072