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Grade 11Algebra

Show that,the equation of the straight line xcos theta+ysin theta=p can be expressed in the following term:
X-pcos theta/-sin theta=y-psin theta/cos theta=r.

Profile image of CA
7 Years agoGrade 11
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1 Answer

Profile image of Aditya Gupta
7 Years ago
let costheta=c and sintheta=s
now write p= ps^2+pc^2
so the eqn xcostheta+ysin theta=p becomes
xc+ys=ps^2+pc^2
c(x – pc)= s(ps – y)
or (x – pc)/s= (ps – y)/c
or (x – pc)/-s= (y – ps)/c= r (say)
 
 

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