[" Hifi thit sinite ycose,thifiti bit for the that "(x)/(sec2 alpha)+(y)/(cosec2 alpha)=x],[qquad [B,U,5dL]

If x sin alpha=y cos alpha, prove that :(x)/(sec2 alpha)+(y)/(cos ec2 alpha)=x

If x sin alpha = y cos alpha, prove that : x/(sec 2alpha) + y/(cosec 2 alpha) = x

The perpendicular distance from origin to the line x/(p sec alpha)+y/(p cosec alpha)=1 is

(sin alpha+csc alpha)^(2)+(cos alpha+sec alpha)^(2)-7=

The value of the integral int_(0)^(3alpha) cosec (x-alpha)cosec(x-2alpha)dx is

The value of the integral int_(0)^(3alpha) cosec (x-alpha)cosec(x-2alpha)dx is

The value of the integral int_0^(3alpha) cosec(x-alpha) cosec(x-2alpha)dx is

If p and q are the lengths of the perpendiculars from the origin to the straight lines x "sec" alpha + y " cosec" alpha = a " and " x "cos" alpha-y " sin" alpha = a "cos" 2alpha, " then prove that 4p^(2) + q^(2) = a^(2).

If p and q are the lengths of the perpendiculars from the origin to the straight lines x sec alpha+y cosec alpha=a and x cos alpha-y sin alpha=a cos 2alpha, prove that 4p^(2)+q^(2)=a^(2)