Unit Circle
cos pi/3
1/2
even functions
cos, sec
Difference Quotient Formula
f(x+h)-f(x)/h
expression of e
(1+1/x)X>e
cos pi
-1
sin 3pi/2
-1
cos 3pi/2
0
cos pi/2
0
sin 0
0
sin pi
0
tan 0
0
tan pi
0
cos 0
1
sin pi/2
1
sin2theta + cos2theta=
1
tan pi/4
1
sin pi/6
1/2
radian
the measure of a central angle whose arc length equals the radius
formula for S
S=theta*r
pi/4 family
pi/4, 3pi/4, 5pi/4, 7pi/4
pi/6 family
pi/6, 5pi/6, 7pi/6, 11pi/6
degrees
radians*(180/pi)
cos pi/4
root 2/2
sin pi/4
root 2/2
tan pi/3
root 3
cos pi/6
root 3/2
sin pi/3
root 3/2
tan pi/6
root 3/3
1+tan2(theta)=
sec2theta
vertical asymptote
set denominator equal to zero
odd functions
sin, csc, tan, cot
period of cosine
2pi
period of sin
2pi
What quadrants is sine positive?
I and II
What quadrants is tangent positive?
I and III
What quadrants is cosine positive?
I and IV
law of sines
a/sinA = b/sinB = c/sinC
law of cosines for a
a2=b2+c2-2bccos(A)
Pythagorean Theorem
a²+b²=c²
law of cosines for b
b2=a2+c2-2accos(B)
law of cosines for c
c2=a2+b2-2abcos(C)
1+cot2(theta)
csc2theta
radians
degrees*(pi/180)
change of base formula
logbM=logcM/logcb
odd reflects over
origin
Period of tangent
pi
pi/3 family
pi/3, 2pi/3, 4pi/3, 5pi/3
tan 3pi/2
undefined
tan pi/2
undefined
cos(theta)=
x/r=a/h
even reflects over
y axis
sin(theta)=
y/r=o/h
tan(theta)=
y/x=o/a
