AP EAMCET Engineering 22 Apr 2019 Shift 1 Paper

Consider the expression,
y=sin‌x
Differentiate above w.r.t x

dy

dx

=cos‌x
If tangent to y=sin‌x meet at (h,k) then,
(

dy

dx

)(h,k)=cos‌h
The equation of tangent is given by,
cos‌h(x−h)=y−k
As tangent is passing through origin so,
h‌cos‌h=k
The given curve is passing through (h,k) so,
k=sin‌h
cos‌h=√1−k2
cos2h=1−k2
h2−k2=h2k2
h2−k2=h2k2
x2−y2=x2y2