Unit Circle

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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


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