Compound & Double Angle Formulae (AQA A-Level Mathematics): Flashcards

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R addition formulae Rcos Rsin etc
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Purpose of R addition formulae

Express acosheta+bsinhetaacos heta + bsin heta as single trig function

Formula for RR in R addition formulae

R=sqrta2+b2R = sqrt{a^2 + b^2}

analpha analpha for Rcos(hetaalpha)Rcos( heta - alpha) form

analpha = rac{b}{a}

analpha analpha for Rsin(heta+alpha)Rsin( heta + alpha) form

analpha = rac{a}{b}

In Rcos(hetaalpha)Rcos( heta - alpha) expansion, aa equals

a=Rcosalphaa = Rcosalpha

In Rcos(hetaalpha)Rcos( heta - alpha) expansion, bb equals

b=Rsinalphab = Rsinalpha

RR value for 3cosheta+4sinheta3cos heta + 4sin heta

55

Main application of R addition formulae

Solving trigonometric equations

R formulae application in physics

Oscillatory motion and wave analysis

R formulae application in engineering

AC circuit analysis

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