18*(cos2x+2sin^(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

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

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 ____________

The maximum value of f(x)=|(sin^(2)x,1+cos^(2)x,cos2x),(1+sin^(2)x,cos^(2)x,cos2x),(sin^(2)x,cos^(2)x,sin2x)|,x inR 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):}]

Integrate the following: int{(5cos^(3)x+2sin^(3)x)/(2sin^(2)x*cos^(2)x)+sqrt(1+sin2x)+(1+2sin x)/(cos^(2)x)+(1-cos2x)/(1+cos2x)}dx