Home
Class 11
MATHS
If (s in^4theta)/a+(cos^4theta)/b=1/(a+b...

If `(s in^4theta)/a+(cos^4theta)/b=1/(a+b)` , prove that `(s in^8theta)/(a^3)+(cos^4theta)/(b^3)=1/((a+b)^3)` `(s in^(4n)theta)/(a^(2n-1))+(cos^(4n)theta)/(b^(2n-1))=1/((a+b)^(2n-1)),n in N`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Check your unders"tan"ding|10 Videos
  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise COMPETITION FILE|17 Videos
  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Exerise|11 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Chapter test|12 Videos

Similar Questions

Explore conceptually related problems

If (sin^(4)theta)/(a)+(cos^(4)theta)/(b)=(1)/(a+b), prove that (sin^(8)theta)/(a^(3))+(cos^(4)theta)/(b^(3))=(1)/((a+b)^(3))(sin^(4n)theta)/(a^(2n-1))+(cos^(4n)theta)/(b^(2n-1))=(1)/((a+b)^(2n-1)),n in N

If (sin^(4)theta)/(a)+(cos^(4)theta)/(b)=(1)/(a+b), then (sin^(8)theta)/(a^(3))+(cos^(8)theta)/(b^(3))=

If tan theta=(a)/(b), the n(sin theta)/(cos^(8)theta)+(cos theta)/(sin^(8)theta)=

Prove that: (2cos2^(n)theta+1)/(2cos theta+1)=(2cos theta-1)(2cos2 theta-1)(2cos2^(2)theta-1)...(2cos2^(n-1)theta-1)

Using induction,prove that cos theta cos2 theta cos2^(2)theta...cos2^(n-1)theta=(sin2^(n)theta)/(2^(n)sin theta)

Prove that sin^(2)theta+sin^(2)2 theta+sin^(2)3 theta+....+sin^(2)n theta=(n)/(2)-(sin n theta cos(n+1)theta)/(2sin theta)

If theta=(pi)/(2^(n)+1), prove that: 2^(n)cos theta cos2 theta cos2^(2)...*cos2^(n-1)theta=1

The value of (1)/(8)(3-4cos2 theta+cos4 theta) is (A)cos4 theta(B)sin4 theta(C)sin^(4)theta(D)cos^(4)theta

sum_ (n = 1) ^ (oo) (tan ((theta) / (2 ^ (n)))) / (2 ^ (n-1) cos ((theta) / (2 ^ (n-1)) ))

sin^4 theta=3/8-1/2cos2theta+1/8cos 4theta

MODERN PUBLICATION-TRIGONOMETRY-Revision Exerise
  1. Prove that"sin"(pi)/(14)"sin"(3pi)/(14)"sin"(5pi)/(14)"sin"(7pi)/(14)=...

    Text Solution

    |

  2. Prove that: cos^2A+cos^2(A+pi/3)+cos^2(A-pi/3)=3/2

    Text Solution

    |

  3. If (s in^4theta)/a+(cos^4theta)/b=1/(a+b) , prove that (s in^8theta)/...

    Text Solution

    |

  4. If at a nalpha+bt a nbeta=(a+b)tan((alpha+beta)/2) , where alpha!=beta...

    Text Solution

    |

  5. If alphaa n dbeta are the solutions of acostheta+bs intheta=c , then s...

    Text Solution

    |

  6. If alpha and beta are the solution of the equation, a tantheta+bsecth...

    Text Solution

    |

  7. If tanbeta=(Q"sin"alpha)/(P+Qcosalpha) Prove that "tan"(alpha-beta)=...

    Text Solution

    |

  8. Prove that: cotthetacot2theta+cottheta2cot3theta+2=cottheta(cottheta-c...

    Text Solution

    |

  9. Prove that:(cos 2A cos 3A -cos 2A cos 7A + cos A cos 10A)/("sin" 4A si...

    Text Solution

    |

  10. If theta(1),theta(2),theta(3),".......",theta(n) are in AP whose commo...

    Text Solution

    |

  11. If A+B+C = pi prove that cos 4A + cos 4B + cos 4C = -1 + 4 cos 2A co...

    Text Solution

    |

  12. If A+B+C=pi, prove that : sin, (B+C)/(2) + sin, (C+A)/(2) + sin, (A+B)...

    Text Solution

    |

  13. If A + B + C = 180^(@) prove that: (i) "sin" (B+C-A) + "sin"(C+ A-B)...

    Text Solution

    |

  14. Prove that the triangle ABC is equilateral if cotA+cotB+cotC=sqrt3

    Text Solution

    |

  15. If A + B + C + D = 2pi, prove that: cos A + cos B + cos C + cos D =...

    Text Solution

    |

  16. If x+y+z=x y z prove that (2x)/(1-x^2)+(2y)/(1-y^2)+(2z)/(1-z^2)=(2x)/...

    Text Solution

    |

  17. If x y+y z+x z=1,then prove that x/(1-x^2)+y/(1-y^2)+z/(1-z^2)=(4x y...

    Text Solution

    |

  18. Find the solutions x in [0,2pi] of:"sin" 2x – 12 ("sin" x - cos x) + 1...

    Text Solution

    |

  19. Solve : (i) cos 3theta + 8 cos^(3) theta = 0 (ii) "tan" (pi cot x) ...

    Text Solution

    |

  20. Prove that the values of the function("sin"xcos3x)/(cosx"sin"3x)do not...

    Text Solution

    |