[" "1) "sin Q=(x^(2)+y^(2))/(x^(2)-y^(2))" dt tan "theta],[" det "cos thetaquad bar(x)_(1)" .HId "dalc e]

If sin theta=(x^2-y^2)/(x^2+y^2) then find the values of cos theta and cot theta

If tan theta=((2x)(x+1))/(2x+1), find sin theta and cos theta

Match the following {:("parametric equation","Cartesian equation"),(" List - I"," List - II"),("1) "x cos theta + y sin theta =a",","a) "(x^(2)-y^(2))^(2)=16xy),(" "x sin theta - y cos theta = b,),("2) "x=sec theta + tan theta",","b) "xy=1),(" "y=sec theta - tan theta,),("3) "xsec theta + y tan theta =a",","c) "x^(2)-y^(2)=a^(2)-b^(2)),(" "x tan theta + y sec theta = b,),("4) "x=cot theta + cos theta",","d) "x^(2)+y^(2)=a^(2)+b^(2)),(" "y=cot theta - cos theta,):}

if tan theta=(x)/(y) then sin2 theta+cos2 theta is

x=a sin theta, y=a cos theta " then "x^2+y^2 =…………

Find ( d^2 y)/(d x^2 ) of the following: x= a( theta - sin theta ), y= a(1- cos theta )

If x = (sin^(3)theta)/(cos^(2) theta)and y = (cos^(3) theta)/(sin^(2)theta) , where sin theta + cos theta = (1)/(2) , " then " x + y =