If `costheta=y` ,`y gt 0` then `tantheta` will be
`(a) y/sqrt(1+y^2)`
`(b) y/sqrt(1-y^2)`
`(c) sqrt(1+y^2)/y`
`(d) sqrt(1-y^2)/y`

lim_(y->0)[(sqrt(1-y^2)-sqrt(1+y^2))/y^2]

sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y),show(dy)/(dx)=sqrt((1-y^(2))/(1-x^(2)))

Let a , b ,xa n dy be real numbers such that a-b=1a n dy!=0. If the complex number z=x+i y satisfies I m((a z+b)/(z+1))=y , then which of the following is (are) possible value9s) of x? (a)-1-sqrt(1-y^2) (b) 1+sqrt(1+y^2) (c)-1+sqrt(1-y^2) (d) -1-sqrt(1+y^2)

int_0^1y^2sqrt(1-y^2)dy

sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y), provethat (dy)/(dx)=sqrt((1-y^(2))/(1-x^(2)))

Evaluate (sqrt(x^2-y^2)+x)/(sqrt(x^2+y^2)+y) divide (sqrt(x^2+y^2)-y)/(x-sqrt(x^2-y^2))

If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y), prove that (dy)/(dx)=sqrt((1-y^(2))/(1-x^(2)))

If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y), prove that (dy)/(dx)=sqrt((1-y^(2))/(1-x^(2)))

int_ (0) ^ (1) (log y) / (sqrt (1-y ^ (2))) dy