If p cos^2(x)+sin^2(x)=r,express cos^2(x) n terms of p and r only?

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Answer 1 · 2018-03-21T15:02:28

#cos^2x=(r-1)/(p-1)#

Given:
#pcos^2x+sin^2x=r#

#cos^2x=f(p,r)#

#sin^2x=1-cos^2x#

#pcos^2x+1-cos^2x=r#

#1+(p-1)cos^2x=r#

#(p-1)cos^2x=r-1#

#cos^2x=(r-1)/(p-1)#