For `f(x)=sin^2x ,x in (0,pi)` point of inflection is: `pi/6` (b) `(2pi)/4` (c) `(3pi)/4` (d) `(4pi)/3`

If f(x)=e^xsinx in [0,\ pi] , then c in Rolles theorem is pi//6 (b) pi//4 (c) pi//2 (d) 3pi//4

If f(x)={(-1, if x 0)) and g(x) =sinx+ cos x, then points of discontinuity of (fog)(x) in (0,2pi) are (A) pi/4,(5pi)/4 (B) pi/4,(3pi)/4 (C) pi/4,(7pi)/4 (D) (3pi)/4,(7pi)/4

The function f(x)=tan^(-1)(sin x+cos x) is an increasing function in (-(pi)/(2),(pi)/(4))(b)(0,(pi)/(2))(-(pi)/(2),(pi)/(2))(d)((pi)/(4),(pi)/(2))

The maximum value of the function f(x)=sin(x+(pi)/(6))+cos(x+(pi)/(6)) in the interval (0,(pi)/(2)) occurs at (pi)/(12) (b) (pi)/(6)(c)(pi)/(4)(d)(pi)/(3)

The value of c in Lagranges theorem for the function f(x)=log sin x in the interval [(pi)/(6),(5 pi)/(6)] is (pi)/(4) (b) (pi)/(2)(2 pi)/(3) (d) none of these

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)

which of the following statement is // are true ? (i) f(x) =sin x is increasing in interval [(-pi)/(2),(pi)/(2)] (ii) f(x) = sin x is increasing at all point of the interval [(-pi)/(2),(pi)/(2)] (3) f(x) = sin x is increasing in interval ((-pi)/(2),(pi)/(2)) UU ((3pi)/(2),(5pi)/(2)) (4) f(x)=sin x is increasing at all point of the interval ((-pi)/(2),(pi)/(2)) UU ((3pi)/(2),(5pi)/(2)) (5) f(x) = sin x is increasing in intervals [(-pi)/(2),(pi)/(2)]& [(3pi)/(2),(5pi)/(2)]

The function f(x)=tan^(-1)(sin x+cos x) is an increasing function in (1)((pi)/(4),(pi)/(2))(2)(-(pi)/(2),(pi)/(4))(3)(0,(pi)/(2))(4)(-(pi)/(2),(pi)/(2))^(((pi)/(4)),(pi)/(2))^(((pi)/(4)))(2)

f(x)=sin+sqrt(3)cosx is maximum when x= pi/3 (b) pi/4 (c) pi/6 (d) 0

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