Home
Class 11
MATHS
Prove that ,tan(alpha+beta)tan(alpha-bet...

Prove that ,`tan(alpha+beta)tan(alpha-beta)=(sin^2alpha-sin^2beta)/(cos^2alpha-sin^2beta)`

Promotional Banner

Topper's Solved these Questions

  • Bethune Collegiate School, Question Paper

    UNITED BOOK HOUSE|Exercise Exercise |21 Videos

  • CO-ORDINATE GEOMETRY

    UNITED BOOK HOUSE|Exercise EXERCISE|10 Videos

Similar Questions

Explore conceptually related problems

Prove that cos (alpha+beta) +sin (alpha-beta)=2sin(pi/4+alpha)cos(pi/4+beta)

If tan theta = ( tan alpha - tan beta)/(1-tan alpha tan beta),"show that", sin 2 theta=(sin 2 alpha- sin 2 beta)/(1- sin2 alpha sin 2 beta).

Prove that (cos alpha - cos beta)^(2) +(sin alpha - sin beta)^(2) = 4 "sin"^(2) (alpha-beta)/2

If tan theta = ( tan alpha + tan beta)/(1 + tan alpha tan beta),"show that " sin 2 theta =(sin 2 alpha + sin 2 beta)/(1+sin 2 alpha sin 2 beta)

If tanalpha and tanbeta be the roots of the equation (x^2+px+q=0) then the value of the expression sin^2(alpha+beta)+p sin(alpha+beta)cos(alpha+beta)+qcos^2(alpha+beta) is

Prove that (cos2 alpha-cos 2 beta)/(sin2 alpha+sin2 beta)=tan(beta-alpha)

The value of ((cos alpha + cos beta)/(sin alpha - sin beta))^(n) + ((sin alpha + sin beta)/(cos alpha - cos beta))^(n) (where n is a whole number ) is equal to-

Prove that 2tan^(-1)[tan((alpha)/(2)) tan((pi)/(4)-(beta)/(2))]=tan^(-1)((sin alpha cos beta)/(cos alpha+sin beta))

"Show that :" 2 sin^(2) beta + 4 cos ( alpha + beta) sin alpha sin beta + cos2 (alpha + beta) = cos2 alpha

If cosalpha+cosbeta=0=sinalpha+sinbeta, then cos2alpha+cos2beta is equal to (a) -2"sin"(alpha+beta) (b) -2cos(alpha+beta) (c) 2"sin"(alpha+beta) (d) 2"cos"(alpha+beta)

UNITED BOOK HOUSE-BETHUNE COLLEGIATE SCHOOL.-EXERCISE
  1. If f(x)=a(x-b)/(a-b)+b.(x-a)/(b-a)then show that f(a)+f(b)=f(a+b).

    Text Solution

    |

  2. Prove that (1+sec2A)(1+sec2^2A)(1+sec2^3A).....(1+sec2^nA)=(tan2^nA)/(...

    Text Solution

    |

  3. Prove that ,tan(alpha+beta)tan(alpha-beta)=(sin^2alpha-sin^2beta)/(cos...

    Text Solution

    |

  4. How many 5 digit numbers can be formed using the digits 0,2,5,6,7 with...

    Text Solution

    |

  5. Show that ,((1+i)/(1-i))^2+((1-i)/(1+i))^2is a real number.

    Text Solution

    |

  6. Find the distance between the lines 3x+4y=9 and 6x+8y+15=0.

    Text Solution

    |

  7. Find the value of :lim(xrarr0)(sin2x+sin6x)/(sin5x-sin3x)

    Text Solution

    |

  8. In an examination 60% passed in mathematics,68% passes in statistics a...

    Text Solution

    |

  9. If alpha!=betaand atanalpha+b tanbeta=(a+b)tan((alpha+beta)/2),then sh...

    Text Solution

    |

  10. For any three sets A,Band C show that :Acap(BcupC)=(AcapB)cup(AcapC)

    Text Solution

    |

  11. Prove using principle of mathematical induction that sum of the cube t...

    Text Solution

    |

  12. If w be a imaginary cube root of uniyt and a+b+c=0 then show that (a+b...

    Text Solution

    |

  13. Find the sum upto n terms of the following series 4+44+444+….n.

    Text Solution

    |

  14. Show that the straight lines 5x-y=6,x+5y-22=0,5x-y-32=0 and x+5y+4=0 f...

    Text Solution

    |

  15. Find the value of :lim(xrarra)(xsina-asinx)/(x-a)

    Text Solution

    |

  16. Prove that :cot(A-B)cot(B-c)+cot(B-c)cot(C-A)+cot(A-B)cot(B-C)=1

    Text Solution

    |

  17. Provethat: (cos3theta)/(sin2thetasin4theta)+(cos5theta)/(sin4thetasin6...

    Text Solution

    |

  18. Two parallel straight lines contains 5 points and 10 points respective...

    Text Solution

    |

  19. Find the sum of the following series (1)+(2+3)+(4+5+6)+(7+8+9+10)+…to ...

    Text Solution

    |

  20. If ab+bc+ca=0 then prove that the straight lines x/a+y/b=1/c,x/b+y/c=1...

    Text Solution

    |