" 11."(1)/(1-cos x)

int (sin x) ^ (- (11) / (3)) (cos x) ^ (- (1) / (3)) dx

int (sin x) ^ (- (11) / (3)) (cos x) ^ (- (1) / (3)) dx

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

If 0

Delta=|(cos""(theta)/(2),1,1),(1,cos""(theta)/(2),-cos""(theta)/(2)),(-cos""(theta)/(2),1,1)| lies in the interval

STATEMENT -1 : If [sin^(-1)x] gt [cos^(-1)x] ,where [] represents the greatest integer function, then x in [sin1,1] is and STATEMENT -2 : cos^(-1)(cosx)=x,x in [-1,1]

Assertion : If 0ltxlt(pi)/2 then sin^(-1)(cosx)+cos^(-1)(sinx)=pi-2x Reason : cos^(-1)x=(pi)/2-sin^(-1)x,AA x in [-1,1]