" (iii) "x^(2)cos x

sin x = 2 ^ (n) * cos (x) / (2) * cos (x) / (2 ^ (2)) * cos (x) / (2 ^ (3)) * ... * cos ( x) / (2 ^ (n)) * sin (x) / (2 ^ (n))

f (x) = det [[(cos x) / (2), 1,11, (cos x) / (2), - (cos x) / (2) - (cos x) / (2), 1 , -1]]

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

((1) / ((sec x) ^ (2) - (cos x) ^ (2)) + (1) / ((cos ecx) ^ (2) - (sin x) ^ (2))) ( cos x) ^ (2) (sin x) ^ (2) = (1- (cos x) ^ (2) (sin x) ^ (2)) / (2+ (cos x) ^ (2) (sin x) ^ (2))

Evaluate: int(sin x+2cos x)/(2sin x+cos x)dx

Evaluate: int(-sin x+2cos x)/(2sin x+cos x)dx

int sin""(x)/(2) cos""(x)/(2) cos x dx is equal to

The maximum value of 4 sin^(2) x + 3 cos^(2) x + sin ""(x)/(2) + cos"" (x)/(2) is