Wednesday, November 30, 2011

A mistake made by Zhiming

Saturday, November 12, 2011

Trigonmetry Formular O LeveL A Maths That are given

This are the formulars given in Further Trigonmetry

sin2x+cos2x=1

sin(A+B) = sinAcosB+ cosAsinB
sin(A-B) = sinAcosB - cosAsinB

cos(A+B) = cosAcosB-sinAsinB
cos(A-B) = cosAcosB+sinAsinB

tan(A+B) = [tanA+tanB)]/(1-tanAtanB)
tan(A-B) = [tanA-tanB)]/(1+tanAtanB)

sin2A=2sinAcosA

cos2A=cos2A-sin2A
cos2A=2cos2A-1
cos2A=1-2sin2A

tan2A=Tan2A/(1+tan2A)

sinA+sinB=2sin[(A+B)/2]cos[(A-B)/2]
sinA-sinB= 2cos [(A+B)/2] sin [(A-B)/2]


cosA+cosB=2 cos [(A+B)/2]cos[(A-B)/2]
cosA-cosB=-2sin[(A+B)/2] sin [(A-B)/2]


Formulars That are Not given
a cos θ ± b sin θ = R cos (θ α)
a sin θ ± b cos θ = R sin (θ ± α)


where
and a > 0, b > 0, α is acute