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Math 108- Spring 13

Degrees to Radians piRAD/ 180 DEG
Linear velocity LV=AVxR
Arc Length S= Rx @
Angular Velocity ^D/^T
Period (Sin waves) 2pi/B
Phase Shift (Sin waves) C/B
Frequency (Sin waves) 1/period
Sinusoid Equation y=D+Asin(Bx-C)
Vertical Displacement D
Amplitude A
tan opposite/adjacent
sin opposite/hypotenuse
cos adjacent/hypotenuse
cot 1/tan
csc 1/sin
sec 1/cos
tan(60) rt3
cos(60) 1/2
sin(60) rt3/2
tan(45) 1
sin(45) rt2/2
cos(45) rt2/2
tan(30) 1/rt3
sin(30) 1/2
cos(30) rt3/2
Law of Sines sinA/a=sinB/b=sinC/c
Ambiguous case ASS, 0, 1, 2 triangles
Law of Cosines a^2=b^2+c^2-2(b)(c)cos(A)
sin@^2+cos@^2= 1
-tan@= tan(-@)
-cot@= cot(-@)
-sin@= sin(-@)
-csc@= csc(-@)
cos@= cos(-@)
sec@= sec(-@)
cos(A-B)= cosAcosB+sinAsinB
cos(A+B)= cosAcosB-sinAsinB
sin(A+B)= sinAcosB+cosAsinB
sin(A-B)= sinAcosB-cosAsinB
tan(A+B)= tanA+tanB/1-tanAtanB
tan(A-B)= tanA-tanB/1+tanAtanB
sin(2@)= 2sin@cos@
cos(2@)= cos^2@-sin^2@ or 2cos^2@-1 or 1-sin^2@
tan(2@)= 2tan@/1-tan^2@
cos(@/2)= rt(1+cos@/2)
sin(@/2)= rt(1-cos@/2)
tan(@/2)= rt(1-cos@/1+cos@) or 1-cos@/sin@ or sin@/1+cos@
tan@= sin@/cos@
x-component (Vector) xcos@
y-component (Vector) ysin@
Created by: ltbailey