If `y^c=27^@,` then: `y=` (a) `((20pi)/3)^c` (b) `((20pi)/3)` (c) `((3pi)/20)` (d) `pi/20`

If (1+tan alpha)(1+tan4 alpha)=2,alpha in(0,(pi)/(16)) then alpha is equal to (a) (pi)/(20) (b) (pi)/(30) (c) (pi)/(40) (d) (pi)/(60)

For 0 cos^(-1)(sintheta) is true when theta belongs to (a) (pi/4,pi) (b) (pi,(3pi)/2) (c) (pi/4,(3pi)/4) (d) ((3pi)/4,2pi)

sin^(-1)((-1)/2) (a) pi/3 (b) -pi/3 (c) pi/6 (d) -pi/6

One of the root equation cosx-x+1/2=0 lies in the interval (a) (0,pi/2) (b) (-pi/(2,0)) (c) (pi/2,pi) (d) (pi,(3pi)/2)

If z=sec^(-1)(x+1/x)+sec^(-1)(y+1/y), where x y<0, then the possible values of z is (a) (8pi)/(10) (b) (7pi)/(10) (c) (9pi)/(10) (d) (21pi)/(20)

If z=sec^(-1)(x+1/x)+sec^(-1)(y+1/y), where x y<0, then the possible values of z is (are) (8pi)/(10) (b) (7pi)/(10) (c) (9pi)/(10) (d) (21pi)/(20)

Angle between the tangents to the curve y=x^(2)-5x+6 at the points (2,0) and (3,0) is : (a) (pi)/(3) (b) (pi)/(2)( c) (pi)/(6) (d) (pi)/(4)

If sin^(-1)x+sin^(-1)y=(2 pi)/(3) ,then the value of cos^(-1)x+cos^(-1)y is (A) (2 pi)/(3) (B) (pi)/(3) (C) (pi)/(2) (D) pi

If (1+tanalpha)(1+tan4alpha)=2,alpha in (0,pi/(16)), then alpha is equal to (a) pi/(20) (b) pi/(30) (c) pi/(40) (d) pi/(60)

If (1+tanalpha)(1+tan4alpha)=2,alpha in (0,pi/(16)), then alpha is equal to (a) pi/(20) (b) pi/(30) (c) pi/(40) (d) pi/(60)