If `xcostheta+ysintheta=z`, then what is the value of `(xsintheta-ycostheta)^(2)`?

If tantheta=x/y what is the value of (xsintheta-ycostheta)/(xsintheta+ycostheta)

If cot theta=x/y then the value of (xcostheta-ysintheta)/(xcostheta+ysintheta) .

If xsintheta+ycostheta=sintheta.costheta and xsintheta-ycostheta=0 find x^(2)+y^(2)

If xsin^(3)theta+ycos^(3)theta=sinthetacostheta and xsintheta=ycostheta , then x^(2)+y^(2) is

If xsin^3theta+ycos^3theta=sinthetacostheta and xsintheta-ycostheta=0 ,show that x^2+y^2=1

The equation of the straight line passing through the point (acos^3theta,asin^3theta) and perpendicular to the line xsectheta+ycos e ctheta=a is (A) xcostheta-ysintheta=acos2theta (B) xcostheta+ysintheta=acos2theta (C) xsintheta+ycostheta=acos2theta (D) none of these

The equation to the straight line passing through the point (acos^3theta,asin^3theta) and perpendicular to the line xsectheta+ycos e ctheta=a is (A) xcostheta-ysintheta=acos2theta (B) xcostheta+ysintheta=acos2theta (C) xsintheta+ycostheta=acos2theta (D) none of these

What is the equation of the plane which passes through the z-axis and is perpendicular to the line (x-a)/(costheta)=(y+2)/(sintheta)=(z-3)/0? a. x+yt a ntheta=0 b. y+x t a ntheta=0 c. xcostheta-ysintheta=0 d. xsintheta-ycostheta=0

If xsin^3theta+ycos^3theta=sinthetacostheta and xsintheta=ycostheta, prove that x^2+y^2=1

If the line xcostheta+ysintheta=P is the normal to the curve (x+a)y=1, then show theta in (2npi+pi/2,(2n+1)pi)uu(2npi+(3pi)/2,(2n+2)pi),n in Z