Home
Class 12
MATHS
If x=a(costheta+sinthetasin2theta)andy=a...

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

Text Solution

Verified by Experts

The correct Answer is:
`(x+y)^((2)/(3))+(x-y)^((2)/(3))=2a^((2)/(3))`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2018|30 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -A)|10 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2018 (GROUP - C)|17 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

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)

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= 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 3theta-sintheta)/(costheta-cos3 theta)=cot2 theta

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+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)) .

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

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

If x+iy=3/(2+costheta+i sintheta) then show that x^2 + y^2 = 4x - 3.

(sin5theta+sin2theta-sintheta)/(cos5theta+2cos3theta+2cos^2theta+costheta) is equal to