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18 Cards in this Set

  • Front
  • Back

Law of sines

sinA/a = sinB/b = sinC/c

Law of cosines

a^2 = b^2 + c^2 - 2bc cosA

sin(2x) =

2sinxcosx

cos(2x) =

cos^2x - sin^2x


2cos^2x - 1


1 - 2sin^2x

sinx

domain: all real numbers


range: - 1, 1

cos

domain: all real numbers


range: - 1,1

tan

domain: all real numbers except for pi/2 + kpi


range: all real numbers

cot

domain: all real numbers except for Kpi


range: all real numbers

sec

domain: all real numbers except for pi/2 + Kpi


range: (-infinity, - 1] U [1, infinity)

csc

domain: all real numbers except kpi


range: (-infinity , -1] U [1 , infinity)

arcsin

domain: (-1, 1)


range: [-pi/2, pi/2]

arccos

domain: - 1,1


range: [0, pi]

arctan

domain: all real numbers


range: [-pi/2, pi/2]

amplitude of functions

y= asin(x) or


y= acos(x)


amplitude = a

period of functions

y= sin b (x)


period = original period /b

S (arc length)

= θR

area of sector

= 1/2θ(R)^2

tan(A+B)

(tana + Tabb) /(1- tanAtanB)