" 18."(cos2x+2sin^(2)x)/(cos^(2)x)

(cos2x)/(sin ^(2) x cos^(2) x)

Evaluate : (i) int(cos2x+2sin^(2)x)/(sin^(2)x)dx (ii) int(2cos^(2)x-cos2x)/(cos^(2)x)dx

The value of (cos^(4)x+cos^(2)x sin^(2) x + sin^(2)x)/(cos^(2)x+ sin^(2) x cos^(2) x + sin^(4)x) is ____________

Simplify [{:(cos^(2)x,sin^(2)x),(sin^(2)x,cos^(2)x):}]+[{:(sin^(2)x,cos^(2)x),(cos^(2)x,sin^(2)x):}]

Evaluate : (i) int (cos2x+2sin^2x)/(sin^2x)dx (ii) int(2cos^2x-cos2x)/(cos^2x)dx

" If determinant "|[cos^(2)x,sin^(2)x,cos^(2)x],[sin^(2)x,cos^(2)x,sin^(2)x],[cos^(2)x,sin^(2)x,-cos^(2)x]|" is expanded as a function of "sin^(2)x" ,then the absolute value of constant term in expansion of function "