Home
Class 12
MATHS
If sin^(6)theta+cos^(6) theta-1= lambda ...

If `sin^(6)theta+cos^(6) theta-1= lambda sin^(2) theta cos^(2) theta`, find the value of `lambda`.

Text Solution

Verified by Experts

The correct Answer is:
-3
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

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

    ARIHANT MATHS|Exercise Exercise For Session 1|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

sin^2theta+cos^2theta=1 .

The method of eliminating 'theta' from two given equations involving trigonometrical functions of 'theta' . By using given equations involving 'theta' and trigonometrical identities, we shall obtain an equation not involving 'theta' . On the basis of above information answer the following questions. If sin theta+ cos theta= a and sin^(3)theta+cos^(3) theta=b , then we get lambda a^(3) + mu b+ v a =0 when lambda , mu, v are independent of theta , then the value of lambda^(3)+mu^(3)+v^(3) is

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

Prove that : sin^8 theta- cos^8 theta= (sin^2 theta- cos^2 theta)(1-2 sin^2 theta cos^2 theta) .

If A = sin^2 theta+ cos^4 theta , then for all real values of theta

Prove that sin^4theta-cos^4theta=sin^2theta-cos^2theta .

The Ieast value of 2sin^2theta + 3 cos^2 theta is

The equation 2 sin^(3) theta+(2 lambda-3) sin^(2) theta-(3 lambda+2) sin theta-2 lambda=0

If A = [(cos theta, sin theta),(-sin theta, cos theta)] and B = [(sin theta, - cos theta), (cos theta, sin theta)] , evaluate A cos theta + B sin theta .

If int (sin 3 theta + sin theta ) cos theta e ^(sin theta ) d theta = (A sin ^(3) theta + B cos ^(2) theta + C sin theta + D cos theta +E)e^(sin theta)+F, then: