" (il) "cos^(-1)(cos^(2)x-sin^(2)x)

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):}]

" 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"

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]]

sin^(-1)(2cos^(2)x-1)+cos^(-1)(1-2sin^(2)x)=

Sin^(-1)(2cos^(2)x-1)+Cos^(-1)(1-2sin^(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 ____________

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