If `x= a costheta -b sintheta` and `y=a sintheta + b costheta` then prove that : `x^2 + y^2 = a^2 +b^2.`

If x/a costheta+y/b sintheta=1 and x/a sintheta-y/bcostheta=1 Prove that : (x^2)/(a^2)+(y^2)/(b^2)=2

If a costheta + b sintheta=3 and a sintheta - b costheta=4 , then a^(2)+b^(2) has the value 25

If a costheta + b sintheta=3 and a sintheta - b costheta=4 , then a^(2)+b^(2) has the value 25

If cosectheta-sintheta=a^3, sectheta-costheta=b^3 , then prove that a^2b^2(a^2+b^2)=1

If 2costheta-sintheta=x and costheta-3sintheta=ydot Prove that 2x^2+y^2-2x y=5.

If x = a(sintheta + costheta) and y = b (sintheta- costheta) then (x^2 //a^2 ) + (y^2 //b^2) =? (a)3 (b)1 (c)4 (d)2

If sintheta + 2 costheta=1 ,then prove that 2sintheta-costheta=2 .

If sintheta + 2 costheta=1 ,then prove that 2sintheta-costheta=2 .

Sintheta + Costheta = 2 Sintheta - Costheta = ?

Evaluate : |(2costheta, -2sintheta),(sintheta, costheta)| .