`cos^(-1)("cos"(2cot^(-1)(sqrt(2)-1)))` is equal to `sqrt(2)-1` (b) `pi/4` (c) `(3pi)/4` (d) `non eoft h e s e`

cos^(-1) (cos (2 cot^(-1) (sqrt2 -1))) is equal to

cos^(-1) ( cos( 2 cot^(-1)(sqrt2 - 1))) is equal to

The value of sin^(-1)(cot(sin^(-1)((2-sqrt(3))/(4)+(cos^(-1)(sqrt(12)))/(4)+sec^(-1)sqrt(2))))(a)0( b) (pi)/(2)( c) (pi)/(3)( d) none of these

sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)(sqrt(12)/4)+sec^(-1)(sqrt(2))= (a) 0 (b) pi/4 (c) pi/6 (d) pi/2

tan((pi)/(4)+(1)/(2)cos^(-1)x)+tan((pi)/(4)-(1)/(2)cos^(-1)x),x!=0 is equal to x( b) 2x( c) (2)/(x) (d) none of these

The value of sin^(-1)((3)/(sqrt(73)))+cos^(-1)((11)/(sqrt(146)))+cot^(-1)sqrt(3) is a.(5 pi)/(12) b.(7 pi)/(12) c.(7 pi)/(12) d.none of these

int_(-(pi)/(3))^(0)[cot^(-1)((2)/(2cos x-1))+cot^(-1)(cos x-(1)/(2))]dx is equal to (pi^(2))/(6) (b) (pi^(2))/(3) (c) (pi^(2))/(8) (d) (3 pi^(2))/(8)

The value of sin^(-1){cot(sin^(-1)sqrt((2-sqrt(3))/(4))+cos^(-1)(sqrt(12))/(4)+sec^(-1)sqrt(2))} is equal to (pi)/(4) (b) (pi)/(2)(c)0(d)-(pi)/(2)