Home
Class 10
MATHS
If acos^3theta+3acosthetasin^2theta=m a...

If `acos^3theta+3acosthetasin^2theta=m and asin^3theta+3acos^2thetasintheta=n` , then prove that: `(m+n)^(2//3)+(m-n)^(2//3)=2a^(2//3)`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8 D|6 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8 E|16 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8 B|22 Videos

  • CONSTRUCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 B|10 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|8 Videos

Similar Questions

Explore conceptually related problems

If acos^3theta+3acosthetasin^2theta=m and asin^3theta+3acos^2thetasin^theta=n , then prove that: (m+n)^(2//3)+(m-n)^(2//3)=2a^(2//3)

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)

If cos ec theta - sin theta = m and sec theta - cos theta = n, then show that (m ^(2) n ) ^(2//3) + (mn ^(2)) ^( 2//3) = 1.

If cos e ctheta-sintheta=m and sectheta-costheta=n , prove that (m^(2)n)^(2/3)+(m n^2)^(2/3)=1

If tan theta +sin theta =m and tan theta -sin theta =n then prove m^2-n^2=4sqrt(mn)

If xsin^3theta+ycos^3theta=sinthetacosthetaa n dxsintheta=ycostheta, prove that x^2+y^2=1

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)

Prove that : (2 cos^(3) theta-cos theta)/(sin theta-2 sin^(3)theta)=cot theta

Prove that : cos^3 2theta+3cos2theta=4(cos^6theta-sin^6 theta)

If acos theta-b sin theta=c , show that asin theta+b cos theta=+-sqrt(a^2+b^2-c^2dot)

NAGEEN PRAKASHAN ENGLISH-INTRODUCTION TO TRIGONOMETRY-Exercise 8 C
  1. (sinA+cosecA)^2+(cosA+secA)^2=7+tan^2A+cot^2A

    Text Solution

    |

  2. Prove that : (1-tanA)^(2)+(1-cotA)^(2)=(secA-"cosec"A)^(2)

    Text Solution

    |

  3. Prove that : (secA-tanA)/(secA+tanA)=1-2secAtanA+2tan^(2)A

    Text Solution

    |

  4. Prove that : sqrt((1+cosA)/(1-cosA))+sqrt((1-cosA)/(1+cosA))=2" cose...

    Text Solution

    |

  5. If (1-sinA)(1-sinB)(1-sinC)=(1+sinA)(1+sinB)(1+sinC), then show that ...

    Text Solution

    |

  6. If tan^2 theta= 1-e^2 prove that sec theta + tan^3 theta cosec theta=...

    Text Solution

    |

  7. Prove that (sintheta-costheta+1)/(sintheta+costheta-1)=1/(sectheta-tan...

    Text Solution

    |

  8. If (cosalpha)/(sinbeta)=n and (cosalpha)/(cosbeta)=m, then find cos^(2...

    Text Solution

    |

  9. If sectheta=x+(1)/(4x),prove that sectheta+tantheta=2xor(1)/(2x)*

    Text Solution

    |

  10. If x=asecthetacosphi ,y=secthetasinphiandz=ctantheta,show that(x^(2))/...

    Text Solution

    |

  11. Prove: (1+tan^2A)+(1+1/(tan^2A))=1/(sin^2A-sin^4A)

    Text Solution

    |

  12. Prove that : (sintheta-2sin^(3)theta)/(2cos^(3)theta-costheta)-tanth...

    Text Solution

    |

  13. Eliminate alpha from x=asinalpha+bcosalphaandy=acosalpha-bsinalpha.

    Text Solution

    |

  14. If 7("cosec "theta-1)=3cottheta,then prove that : 3("cosec " theta+1)=...

    Text Solution

    |

  15. If x=(1+sintheta)/(costheta), prove that : sintheta=(x^(2)-1)/(x^(2)+...

    Text Solution

    |

  16. If x=cotA+cosA,y=cotA,prove that : ((x-y)/(x+y))^(2)+((x-y)/(2))^(2)=1

    Text Solution

    |

  17. If (cosA)/(cosB)=p,(sinA)/(sinB)=q,then show that (p^(2)(1-q^(2)))/(p^...

    Text Solution

    |

  18. If cotalpha+tanalpha=mand(1)/(cosalpha)-cosalpha=n, then show that m(...

    Text Solution

    |

  19. If acos^3theta+3acosthetasin^2theta=m and asin^3theta+3acos^2thetasin...

    Text Solution

    |

  20. If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1...

    Text Solution

    |