R-formula and Trigonometry(Sean Group)

Plus de détails

Trigonometric Functions and all that Jazz

par Randy Stoneroad

Trigonometry with The Unit Circle Cited and Colored

par Widad Karsou

The Basics of Geometric Figures

par Rachel Johnson

Chapter 7 and 8

par Shelbi Menzie

R-formula and Trigonometry(Sean Group)

R-formula

Tan alpha = b/a

Where R=Square root of Asquare + b Square

acosx+bsinx=Rcos(x-a)/ acosx-bsinx=Rcos(x+a)

asinx+bcosx=R sin(x+a)/ asinx-bcosx= Rsin(x-a)

Double angle formulae

tan2A=2tanA/1-tansquare A

cos2A=cos square A- sin square A/ 2cos square A- 1/ 1-2sin square A

sin2A=2sinAcosA

Addition formulae

cos(a-b)=cosacosb+sinasinb

tan(a-b)=tana-tanb/1+tanatanb

tan(a+b)=tana+tanb/1-tanatanb

cos(a+b)=cosacosb-sinasinb

sin(a-b)=sinacosb-cosasinb

sin(a+b)=sinacosb+cosasinb

trigo ratio

tan60=square root 3

tan45=1

tan30=1/squareroot 3

cos60=1/2

cos45=1/squareroot2

cos30=squareroot 3 /2

sin60=squareroot 3 /2

sin45=1/square root 2

sin30=1/2

Trigo identites

sin square x+ cos sqaure x=1

1+tan square= sec square

cosecx=1/sinX

1+cot square = cosec square

secx=1/cosx

Cotx=1/tanx

Tanx= Opposite/adjacent

4th quadrant cosine positive

3rd quadrant tangent positive

2nd quadrant sine positive

1st quadrant all positive

1degree=π/180degree

1 radian=180degree/π

Cosx=Adjacent/hypotenus

Sinx=Opposite/Hypotenus