If `y = sin^(-1) x ` then `x` belongs to the interval:
(a) `(0,pi)`
(b) (-1,1)
(c) [-1,1]
(d) `[0,pi]`

If sin^(-1)(2xsqrt(1-x^(2)))-2 sin^(-1) x=0 then x belongs to the interval

If f (x) = 1/2 x - 1 , then on the interval [0, pi]

If y=tan^(-1)x+tan^(-1)(1/x)+sec^(-1)x , then y lies in the interval (a) [pi/2,pi)uu[pi,(3pi)/2) (b) [pi/2,(3pi)/2] (c)(0,pi) (d) [0,pi/2)uu[pi/2,pi)

If |cos^(-1)((1-x^(2))/(1+x^(2)))|<(pi)/(3), then x belongs to the interval

The equation (cos p-1)x^(2)+(cos p)x+sin p=0 in the variable x has real roots.The p can take any value in the interval (a) ( 0,2 pi)( b) (-pi,0) (c) (-(pi)/(2),(pi)/(2))( d )(0,pi)

2sin^(2)x+3sin x-2>0 and x^(2)-x-2<0 is measured in radians).Then x lies in the interval ((pi)/(6),(5 pi)/(6))( b) (-1,(5 pi)/(6))(-1,2)(d)((pi)/(6),2)

If x=sin^(-1)(sin10) and y=cos^(-1)(cos10) then the value of (y-x) is (a) pi(b)7 pi(c)0 (d) 10

If x cos y+y cos x=pi then the value of y'(0) is equal to pi(b)-pi(c)1(d)0

The least value of a for which the equation (4)/(sin x)+(1)/(1-sin x)=a has at least one solution in the interval (0,(pi)/(2))(a)9(b)4(c)8 (d) 1