Prove that if x=a(costheta+sin thetasin2...

Prove that if `x=a(costheta+sin thetasin2theta)`and `y=a(sintheta+costhetasin2theta)`,then show that `(x+y)^(2//3)+(x-y)^(2//3)=2a^(2//3)`

Similar Questions

Explore conceptually related problems

If x=a(costheta+sinthetasin2theta)andy=a(sintheta+costhetasin2theta) , then show that (x+y)^((2)/(3))+(x-y)^((2)/(3))=2a^((2)/(3)) .

If a cos^3theta +3a cos theta sin^2theta =x and asin^3theta+3a cos^2theta sin theta=y prove that (x+y)^(2/3)+(x-y)^(2/3)=2a^(2/3)

If x = sin theta + cos theta sin 2 theta " and " y = cos theta + sin theta sin 2 theta,"prove that " (x+y)^(2//3) + (x-y)^(2//3) = 2

If x= cosec theta -sin theta and y=sec theta-cos theta, then show that x^(2//3)+y^(2//3)=(xy)^(-2//3)

Prove that (sin theta+ sin 2theta + sin 3 theta)/(costheta+cos2theta+cos3theta)=tan 2 theta

Prove that (sin 3theta-sintheta)/(costheta-cos3 theta)=cot2 theta

Prove that sintheta+sin3theta+sin5theta+.....+sin(2n-1)theta=(sin^2ntheta)/(sintheta)dot

Prove that: (1+sintheta-costheta)/(1+sintheta+costheta)=tan(theta/2)

Prove that (1+sintheta-costheta)/(1+sintheta+costheta)="tan"theta/2 .

If x+a= a(2 cos theta-cos 2 theta) and y= a(2 sin theta- sin 2 theta) ,show that (x^(2)+y^(2)+2ax)^(2)=4a^(2)(x^(2)+y^(2)) .