Compute the following: ` [[cos^2x, sin^2x],[sin^2 x, cos^2 x]]+[[sin^2x, cos^2 x],[cos^2 x, sin^2 x]]`

Solve: [[cos^(2)x, sin^(2)x],[sin^(2)x, cos^(2)x]]+[[sin^(2)x, cos^(2)x],[cos^(2)x, sin^(2)x]]

" if "A=[[cos^(2)x,sin^(2)x],[-sin^(2)x,-cos^(2)x]]" and "B=[[sin^(2)x,cos^(2)x],[-cos^(2)x,-sin^(2)x]]" then find "A+B"

(sin x + cos x)^2 + (sin x - cos x)^2

If maximum and minimum values of the determinant |{:(1 + cos^(2)x , sin^(2) x, cos 2x),(cos^(2) x , 1 + sin^(2)x, cos 2x),(cos^(2) x , sin^(2) x , 1 + cos 2 x):}| are alpha and beta then

If the maximum and minimum values of the determinant |(1 + sin^(2)x,cos^(2) x,sin 2x),(sin^(2) x,1 + cos^(2) x,sin 2x),(sin^(2) x,cos^(2) x,1 + sin 2x)| are alpha and beta , then

Evaluate the following integrals. int sin x cos x (sin 2x + 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 is

" 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 "

int (sin^2x-cos^2x)/(sin^2x cos^2 x) dx is equal to: