sqrt((4)/(3))-sqrt((3)/(4))

(iii) ((4+sqrt(-3))/(4-sqrt(-3)))

The integral int_(0)^( pi)sqrt(1+4sin^(2)((x)/(2))-4sin((x)/(2))dx) equal (1)pi-4(2)(2 pi)/(3)-4-4sqrt(3)(3)4sqrt(3)-4(4)4sqrt(3)-4-(pi)/(3)

Find the direction cosines of a vector vecr which is equally inclined with OX,OY and OZ where O is origin. a) 1,1,1 b) -(4)/(sqrt(3)),-(4)/(sqrt(3)),-(4)/(sqrt(3)) c) pm((1)/(sqrt(3)),(1)/(sqrt(3)),(1)/(sqrt(3))) d) -(1)/(sqrt(2)),-(1)/(sqrt(2)),-(1)/(sqrt(2))

(2+sqrt(3))^(4)+(2-sqrt(3))^(4) = x+ ysqrt(3) then y = ………..

Evaluate: ("Lim")_(x->4)(sqrt(2x+1)+sqrt(x-3)-4)/(sqrt((3x+4))+sqrt(5x+5)-9)

(sqrt(8)-sqrt(3))(-4+sqrt(3))

The angle between the two lines whose direction cosines are ((sqrt(3))/(4),(1)/(4),(sqrt(3))/(2))and((sqrt(3))/(4),(1)/(4),-(sqrt(3))/(2))

Find (x+a)^(3)-(x-a)^(3) . Hence evaluate (sqrt(5)+sqrt(4))^(3)-(sqrt(5)-sqrt(4))^(3)