R-formula and Trigonometry

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R-formula and Trigonometry

Further trigo identities

factor formulae

Eg. sinP+sinQ=2sin1/2(P+Q)cos1/2(P-Q)

R-formulae

eg. Acosx+Bsinx=Rcos(x-alpha) R= ((squareroot)A^2+b^2) tan(alpha)=B/A

double angle formulae

eg. sin2A=2sinAcosA cos2A=cos^2A-sin^2A tan2A=2tanA/1-tan^2A

addition formulae

eg. sin(A+B)=sinAcosB+cosAsinB

Simple trigo identies&eqns

proving identies

To prove a identity, we usually start with the side that is more complex looking and simplify the other side

basic identies

eg. sin^2x+cos^2x=1 secx=1/cosx cosecx=1/sinx cotx=1/tanx

Trigonometry functions

graphs of Sine, Cosine & Tangent functions

basic trigo eqns

general angels

complementary angles

special angles