Exam 1 Flashcards
Pythagorean identity
sin^2+cos^2=1
Sin and Cos even or odd?
Sin is odd, cos even
sin2u
2sinucosu
cos2u
1-2sin^2u or cos^2-sin^2
sin(u+v)
sinucosv+cosusinv
cos(u+v)
cosucosv-sinusinv
b^x graph
same as e graph
ln1
0
lne
1
ln(0)
DNE, -infinity
change of base formula
loga X/ log a b
log point
(1,0)
e graph point
(0,1)
Half life formula
A=Ao(r)^t/T
arcsin arccsc arctan
QI and QIV. -pi/2 to pi/2
arcsin arccsc arctan negative number
-(reference angle)
arccos, arcsec, arctan negative number
pi-reference angle
arccosx arcsecd arccotx
QI and QII o and pi
sinx and cosx range
-1 to 1
Arctrig on inside
draw triangle
x^3+y^3
(x+y)(x^2-xy+y^2)
X^3-y^3
(x-y)(x^2+xy+y^2)
sinx/x limit to 0
1
tanx/x limit to 0
1
cosx-1/x limit as x appraches 0
0
bottom>top at infnity
0
sin is
odd
cos is
even
tan is odd
odd
sec is
even
e^infinity
infinity
e^-infinity
0
f(x+c)
left units
f(-x)
y axis
-f(x)
x axis
Box
SA=2x^2+4xy
V=x^2y
Cylinder
v=pir^2h
SA=2pir^2+2pirh
