Home
Class 12
MATHS
If xsin^3theta+ycos^3theta=sinthetacosth...

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

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 5|10 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

Prove that sin^3theta+cos^3theta=(sintheta+costheta)(1-sinthetacostheta) .

If x costheta-ysintheta=a and xsintheta+ycostheta=b , then prove that x^2+y^2=a^2+b^2 .

If x cos theta- y sin theta=a,x sin theta+ y cos theta=b , prove that x^2+y^2= a^2+b^2 .

If x = a cos theta + b sin theta and y =asin theta-b cos theta , then prove that y^2 (d^2y)/(dx^2)-x(dy)/(dx)+y=0

Prove that sin^6theta+cos^6theta=1-3sin^2thetacos^2theta .

If x=r sin theta cos phi, y= r sin theta sin phi, z=r cos theta , prove that x^2+y^2+z^2=r^2 .

Prove that (1+tan^2theta)sinthetacostheta=tantheta .

If cosec theta- sin theta= a^3, sec theta- cos theta= b^3 , prove that a^2b^2(a^2+b^2)=1 .

IF sintheta+sin^2theta=1 prove that cos^2theta+cos^4theta=1 .

Prove that (sintheta-2sin^3theta)/(2cos^3theta-costheta)=tantheta .