146 day 21
November 05, 2014
adj
10 6
8
hyp
=8/10
=10/8
=8/6
146 day 21
November 05, 2014
13 12
5
sqr(13*13­12*12)=5
PYTAGOREAN SEC = 13/5
COT = 5/12
146 day 21
November 05, 2014
2
3
sqr(9­4)= negative√5
SIN= ­√5/3
146 day 21
November 05, 2014
sin(­pi/3)= ­sqr(3)/2
in calculator...
arcsin(­sqr(3)/2)=­60 degree
­60*pi/180 = ­pi/3
x=sin­1(a) means sin(x) = a
146 day 21
November 05, 2014
x = tan­1(­sqr(3))
TAN(X) = ­SQR(3)
146 day 21
November 05, 2014
BY HAND...
with calculator
COS(X) = ­1
xmin:0
X = COS­1(­1)
=pi radians
xmax:2pi
y2=0
y1=cosx+1
zoom 0:fit calc 5:intersect
Enter x3
3.14159...=pi
146 day 21
November 05, 2014
answer: 135. 315 degree
146 day 21
November 05, 2014
Trig Identities
1. Reciprocal Identities
sec(x) = 1/ cos(x)
csc(x) = 1/ sin(x)
tan(x) = 1/ cot(x)
2. Quotient Identities
tan(x) = sin(x)/ cos(x)
146 day 21
November 05, 2014
= 1/sin(x)
because of 1/cos(x) cot(x) recip ID
= 1/sin(x)
quot
1/cos(x) cos(x)/sin(x)
ID
=1
by algebra
146 day 21
November 05, 2014
146 day 21
even functions like f(x)=x2
f(­x) = (­x)2 = x2
odd functions like f(x)=x3
f(­x) = (­x)3 = ­x3
November 05, 2014
146 day 21
November 05, 2014
= cos * 1/sin = cos / sin = cot
146 day 21
November 05, 2014
pythagorean
quotient
algebra
146 day 21
November 05, 2014
146 day 21
November 05, 2014
146 day 21
November 05, 2014
146 day 21
November 05, 2014
146 day 21
November 05, 2014
Go to the Catalog
new!!!
means: how close data is 0≤r2≤1
to graph
1=100% great!
.9=90% awsome
.7=70% passing
146 day 21
November 05, 2014