A square lies above the X - axis and has one vertex at the origin . The side passing through the origin makes an angle `alpha(o lt alpha lt pi//4)` with the positive direction of the X - axis . Prove that the equation of its diagonals are ,
`y (cos alpha - sin alpha ) = x (sin alpha + cos alpha )` ,
and ` y(sin alpha + cos alpha ) + x ( cos alpha - sin alpha ) = a`
where , is the length of each side of the square

A square of side a lies above the x - axis and has one vertex at the origin.The side passing through the origin makes an angle alpha where 0< alpha <(pi)/(4) with the positive direction of x - axis.The equation of its diagonal not passing through the origin is

A square of side 'a' lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle alpha (0 < alpha' < pi/4 ) with the positive direction of x-axis. Find the equation of diagonal not passing through the origin ?

A square of side ' a ' lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle alpha (0ltalphaltpi/ 4) with the positive direction of x-axis. equation its diagonal not passing through origin is: a. y(cosalpha-sinalpha)-x(sinalpha-cosalpha)=a b. y(cosalpha+sinalpha)+x(sinalpha-cosalpha)=a c. y(cosalpha-sinalpha)+x(sinalpha+cosalpha)=a d. y(cosalpha+sinalpha)-x(cosalpha+sinalpha)=a

If A_(alpha), = [{:(cos alpha , sin alpha),(-sin alpha , cos alpha):}] , then

A square of side a lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle alpha(0ltalphaltpi/ 4) with the positive direction of x-axis. equation its diagonal not passing through origin is (a) y(cosalpha+sinalpha)+x(sinalpha-cosalpha)="alpha(b)y(cosalpha+sinalpha)+x(sinalpha+cosalpha)=alpha(c)y(cosalpha+sinalpha)+x(cosalpha-sinalpha)=alpha(d)y(cosalpha-sinalpha)-x(sinalpha-cosalpha)=alpha

If x sin ^ (3) alpha + y cos ^ (3) alpha = sin alpha cos alpha and x sin alpha-y cos alpha = 0 then x ^ (2) + y ^ (2) =

If x=a sin alpha+b cos alpha and y=a cos alpha-b sin alpha then remove alpha