MATH 173 Exam 2 Formulas

tanx=

sinx/cosx

cotx=

cosx/sinx

cscx=

1/sinx

secx=

1/cos

cotx=

1/tanx

sin^2x+cos^2x=

1

tan^2x+1=

sec^2x

cot^2x+1=

csc^2x

tan(A+-B)=

tanA+-tanB/1-+tanAtanB

Law of Sines

a/sinA=b/sinB=c/sinC

Law of Cosines

a^2=b^2+c^2-2bccosA

sine positive (radians)

theta, pi-

cosine positive (radians)

theta, 2pi-

sine negative (radians)

pi+, 2pi-

cosine negative (radians)

pi+, pi-

sine positive (degrees)

theta, 180-

sine negative (degrees)

180+, 360-

cosine negative (degrees)

180+, 180-

cosine positive (degrees)

theta, 360-

sine positive graph

(0,0) goes up

sine negative graph

(0,0) goes down

cosine positive graph

(0,1)

cosine negative graph

(0,-1)

sin(-x)

-sinx

cos(-x)

cosx

tan(-x)

-tanx

x=

rcostheta

y=

rsintheta

Compound Interest

A=P(1+r/n)^(nt)

Continuous Compound Interest

 A=Pe^(rt)

logab

 loga+logb

loga/b

 loga−logb

loga^r=

rloga

theta=

arctan(y/x)

Standard Form of Quadratic Function

a(x-h)^2+k

n<m

y=0

n=m

an/bm

n>m

none

lne

1

tan period

pi/b

cos period

2pi/b

sin period

2pi/b

sin graph symmetry

origin

cos graph symmetry

y-axis

rose

sin

cardoid

cos

Quadratic formula

-b+-sqaure of b²-4ac / 2a

Rate of Change

fb-fa/b-a

Vertex of Quadratic Function

(-b/2a,f(-b/2a))

rose curve 2n

even n

rose curve n

odd n