" (i) "cos2x+cos^(2)x

{x inR: cos2x+2cos^(2)x=2} =

When the determinant |{:(cos2x,sin^(2)x,cos4x),(sin^(2)x,cos2x,cos^(2)x),(cos4x,cos^(2)x,cos2x):}| is expanded in powers of sin x , the constant term in than or equal to expression is

When the determinant |{:(cos2x,sin^(2)x,cos4x),(sin^(2)x,cos2x,cos^(2)x),(cos4x,cos^(2)x,cos2x):}| is expanded in powers of sin x , the constant term is equal to expression is

When the determinant |{:(cos2x,,sin^(2)x,,cos4x),(sin^(2)x,,cos2x,,cos^(2)x),(cos4x,,cos^(2)x,,cos 2x):}| expanded in powers of sin x, then the constant term in that expression is

The maximum value of cos 2 x + cos^(2) x is

Let f(x)=|sec x cos x sec^(2)x+cot x cos ecx cos^(2)x cos^(2)x cos ec^(2)x1cos^(2)x cos^(2)x Prove that int_(0)^((pi)/(2))f(x)dx=-(pi)/(4)-(8)/(15)

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