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tab^2(beta) = 5-4sec(beta)
Guest Feb 12, 2012
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beta=B

 

sec(B)=1/(cos)

 

tan(B)=sin(B)/cos(B)

 

tan^2(B)=5-4sec(B) ......multiply by cos^2(B)

 

sin^2(B)=5*cos^2(B)-4cos(B)

 

using the identity sin^2(X)+cos^2(X)=1

 

sin^2(B)=1-cos^2(B)=5cos^2(B)-4*cos^2(B)........add (cos^2(B)-1)

 

0=6*cos^2(B)-4cos^2(B)-1.......divide by 6

 

0=cos^2(B)-(2/3)*cos(B)-1/6=(cos(B)-(1/3))^2-1/18......add 1/18

 

1/18=(cos(B)-(1/3))^2

 

i think you can continue from here

Ehrlich  Mar 25, 2017

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