If `cos28^0+sin28^0=k^3, t h e ncos17^0` is equal to (a)`(k^3)/(sqrt(2))` (b) `-(k^3)/(sqrt(2))` (c) `+-(k^3)/(sqrt(2))` (d) none of these

int_(0)^( pi)|cos theta-sin theta|d theta is equal to (a) sqrt(2)(b)2sqrt(2)(c)3sqrt(3)(d) None of these

Let the equation of a curve be x=a(theta+sin theta),y=a(1-cos theta). If theta changes at a constant rate k then the rate of change of the slope of the tangent to the curve at theta=(pi)/(3) is (a) (2k)/(sqrt(3)) (b) (k)/(sqrt(3))(c)k(d) none of these

If y=|cos x|+|sin x|, then (dy)/(dx)atx=(2 pi)/(3) is (1-sqrt(3))/(2)(b)0(c)(1)/(2)(sqrt(3)-1) (d) none of these

Given b=2,c=sqrt(3),/_A=30^(0), then inradius of o+ABC is (sqrt(3)-1)/(2) (b) (sqrt(3)+1)/(2) (c) (sqrt(3)-1)/(4) (d) none of these

sum_(k=1)^(oo)(1)/(k sqrt(k+2)+(k+2)sqrt(k))=(2+sqrt(2))/(a) then

If the area enclosed between the curves y=kx^(2) and x=ky^(2), where k>0, is 1 square unit.Then k is: (a) (1)/(sqrt(3)) (b) (sqrt(3))/(2) (c) (2)/(sqrt(3))(d)sqrt(3)

If(4+sqrt(15))^((3)/(2))-(4-sqrt(15))^((3)/(2))=k sqrt(6), then k is

If tan^(-1)(a+x)/a+tan^(-1)(a-x)/a=pi/6,t h e nx^2= 2sqrt(3)a (b) sqrt(3)a (c) 2sqrt(3)a^2 (d) none of these

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

If int_(pi/4)^((3pi)/4) x/(1+sinx)dx=k(sqrt(2)-1) , then k = (A) 0 (B) pi (C) 2pi (D) none of these