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

Compute the following: i) [[a, b],[ -b, a]]+[[a, b],[ b , a]] . ii) [[a^2+b^2 , b^2+c^2], [a^2+c^2 , a^2+b^2]]+[[2 a b , 2 b c],[ -2 a c, -2 a b]] iii) [[-1 , 4 ,-6] ,[ 8, 5 , 16],[ 2 , 8 , 5]]+[[12, 7 ,6 ],[ 8, 0, 5],[ 3, 2, 4]] iv) [[cos ^2 x ,. sin ^2 x],[ sin ^2 x , cos ^2 x]]+[[sin ^2 x, cos ^2 x ],[ cos ^2 x ,sin ^2 x]] .

prove the following (sinx-sin3x)/(sin^2x-cos^2x)=2sinx

Integrate the following functions: (cos2x+2 sin^2 x)/cos^2x

Integrate the following functions sqrt(sin2x) cos2x

Integrate the following functions: (sin^3x + cos^3x)/(sin^2x cos^2x)

prove the following sin2x+2sin4x+sin6x=4cos^2xsin4x

The value of x satisfying the equation abs{:(cos 2x, sin 2x, sin 2x),(sin 2x, cos 2x, sin 2x),(sin 2x , sin 2x, cos2x):}=0 and x in [0, (pi)/(4) ] is a) (pi)/(4) b) (pi)/(2) c) (pi)/(16) d) (pi)/(8)

prove the following (sin 5x+sinx-2sin3x)/(cos5x-cosx) = tanx

Evaluate int( sin ^4 x+cos ^4 x)/(sin ^2 x cos ^2 x) d x

prove the following (cos4x+cos3x+cos2x)/(sin4x+sin3x+sin2x)=cot3x