Home
Class 12
MATHS
If a cos^(3) alpha+3a cos alpha sin^(2) ...

If `a cos^(3) alpha+3a cos alpha sin^(2) alpha=m` and `a sin^(3) alpha+3a cos^(2)alpha sin alpha = n`. Then, `(m+n)^(2//3) + (m-n)^(2//3)` is equal to

A

`2a^(2)`

B

`2a^(2//3)`

C

`a^(2//3)`

D

`2a^(3)`

Text Solution

Verified by Experts

The correct Answer is:
C

2
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section I (subjective Type questions)|35 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - J|10 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

If a cos^3 alpha +3acosalpha*sin alpha = m and a sin^3alpha +3a cos^3alpha sin^3alpha = n then (m + n)^(2/3) + (m-n)^(2/3)

(cos ^(3) alpha - cos 3 alpha )/( cos alpha ) + (sin ^(3)alpha + sin 3 alpha )/( sin alpha ) = 3.

Which is equivalent to (sin^2 alpha + cos^2 alpha )/(cos alpha ) ?

Show that 4 sin alpha.sin (alpha + pi/3) sin (alpha + 2pi/3) = sin 3alpha

If tan theta=(sin alpha- cos alpha)/(sin alpha+cos alpha) , then:

find the value of (cos^3alpha+sin^3alpha)/(1-sin(alpha).cos(alpha))

If (2sinalpha)/({1+cos alpha+sin alpha})=y, then ({1-cos alpha+sin alpha})/(1+sin alpha)=

if cos^2theta= (m^2-1)/3 and tan^3\ theta/2 = tanalpha, prove that cos^(2//3) alpha+ sin^(2//3) alpha= (2/m)^(2//3)

If sin alpha -cos alpha = m , then the value of sin^6alpha+cos^6alpha in terms of m is

If A=[(cos^(2)alpha, cos alpha sin alpha),(cos alpha sin alpha, sin^(2)alpha)] and B=[(cos^(2)betas,cos beta sin beta),(cos beta sin beta, sin^(2) beta)] are two matrices such that the product AB is null matrix, then alpha-beta is

AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section - J (Akash Challengers Question)
  1. If cos^(2009)x(1) + cos^(2009)x(2) + cos^(2009)x(3) + ………. +cos^(2009)...

    Text Solution

    |

  2. If a cos^(3) alpha+3a cos alpha sin^(2) alpha=m and a sin^(3) alpha+3a...

    Text Solution

    |

  3. If alpha satisfies 15 sin^(4)alpha + 10 cos^(4)alpha=6, then find the ...

    Text Solution

    |

  4. If A= tan27theta - tantheta and B= (sintheta)/(cos 3theta) +(sin 3thet...

    Text Solution

    |

  5. If A=sqrt(3) cot 20^(@) - 4 cos20^(@) and B= sin12^(@) sin48^(@) sin54...

    Text Solution

    |

  6. If tan alpha = 1/sqrt(x(x^2+x+1)),tan beta=sqrtx/sqrt(x^2+x+1) and ...

    Text Solution

    |

  7. The number of values of x lying in [-pi, pi] and satisfying 2sin^2the...

    Text Solution

    |

  8. The number of solutions of the equation sinx.cosx(cosx-sinx)^(2). (sin...

    Text Solution

    |

  9. The number of solutions of the equation sin^(5)theta + 1/(sintheta) = ...

    Text Solution

    |

  10. The number of solutions of x in the interval [-pi, pi] of the equation...

    Text Solution

    |

  11. The general solution of the equation tan(x+20^@)tan(x-4 0^(@))=tan(x-...

    Text Solution

    |

  12. Let x in [0,2pi] The curve y=secx tanx +2tanx - sec x and the line y=2...

    Text Solution

    |

  13. Let p (x) be a polynomial with real coefficient and p (x)=x^(2)+2x+1. ...

    Text Solution

    |

  14. Let three sets be defined as A={x|cos2x + cosx+1=0} B={x|cos2x + 3...

    Text Solution

    |

  15. The number of solutions of the equation 2^|x|=1+2|cosx| is

    Text Solution

    |

  16. If the equation 1 +sin^2 xtheta= costheta has a non-zero solution in t...

    Text Solution

    |