Home
Class 10
MATHS
If (sec A + tan A)(sec B + tan B)(sec C ...

If `(sec A + tan A)(sec B + tan B)(sec C + tan C) = (sec A- tan A)(sec B- tan B)(sec C tan C)` Prove that each side is equal to `+-1.`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS BETWEEN TRIGONOMETRIC RATIOS AND RELATED IDENTITIES

    KALYANI PUBLICATION|Exercise EXERCISE|77 Videos

  • RECAPITULATION: RATIONAL AND IRRATIONAL NUMBERS

    KALYANI PUBLICATION|Exercise EXERCISE|23 Videos

  • similarity of geometric figures

    KALYANI PUBLICATION|Exercise EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

If (tan A + sec A) (tan B + sec B) (tan C + sec C) = (tan A -sec A) (tan B -secB) (sec C-tan C),show that each side is equal to +-1

9sec^2A-9tan^2 A is equal to

If A + B + C = pi , prove that tan A+ tan B + tan C = tan A tan B tan C

Find the sum to n terms: tan y sec 2y + tan 2y sec 4y + tan 4y sec 8y + …

If A=60⁰ and B=30⁰ , verify that tan (A-B)=(tan A-tan B)/(1+tan A tan B)

If 2 tan A = 3 tan B.show that tan (A - B)= (sin2B)/(5-cos2B)

Find dy/dx : y = log(sec x+ tan x)

If A=60⁰ and B=30⁰ , verify that tan (A+B)=(tan A+tan B)/(1-tan A tan B)

if A + B+ C= pi/2 ,show that tan A tan B + tan B tan C+ tan C tan A = 1

Find the derivative of : y = tan ^-1 (sec x + tan x )

KALYANI PUBLICATION-RELATIONS BETWEEN TRIGONOMETRIC RATIOS AND RELATED IDENTITIES-EXERCISE
  1. Prove the following (sintheta-2sin^3theta) /(2cos^3theta-costheta) =ta...

    Text Solution

    |

  2. Prove the following (sintheta +cosectheta) ^2+(costheta+sectheta) ^2=7...

    Text Solution

    |

  3. If (sec A + tan A)(sec B + tan B)(sec C + tan C) = (sec A- tan A)(sec ...

    Text Solution

    |

  4. If sin^2theta + sin^ 4theta = 1, then prove that cos^2theta+ costheta...

    Text Solution

    |

  5. If tan^4theta - tan^2 theta= 1, then prove that cos^4theta+ cos^2theta...

    Text Solution

    |

  6. If 3 tantheta+ cottheta =5cosec theta, then prove that costheta=1/2

    Text Solution

    |

  7. If 7 sin^2theta + 3 cos^2 theta= 4, then prove that tantheta = 1/s...

    Text Solution

    |

  8. If cosectheta + cottheta= k, then prove that costheta=(k^2-1) /(k^2+1)

    Text Solution

    |

  9. If tantheta+ cot theta = 2, then prove that tan^10theta + cot^10 theta...

    Text Solution

    |

  10. If sintheta + cosectheta= 2, then prove that sin^100theta + cosec^100 ...

    Text Solution

    |

  11. If sintheta - costheta = 1, then prove that sintheta + costheta =+-1

    Text Solution

    |

  12. If cos^2theta- sin^2theta= tan^2 phi, then prove that cos^2phi – sin^2...

    Text Solution

    |

  13. If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha)then prove that sqr...

    Text Solution

    |

  14. If tan^2alpha = 1 + tan^2beta,then prove that cos^2 beta = cot^2alpha

    Text Solution

    |

  15. If a costheta -b sin theta = c,then prove that a sintheta + b costheta...

    Text Solution

    |

  16. If sintheta +costheta =sqrt(2) costhetathen prove that costheta -sint...

    Text Solution

    |

  17. If tantheta +sintheta=mand tantheta-sintheta=nprove that m^2-n^2=4sqrt...

    Text Solution

    |

  18. Show that (a+b) ^2=4ab cos^2theta is possible if a=b

    Text Solution

    |

  19. Eliminate theta x=r costheta, y=r sintheta

    Text Solution

    |

  20. Eliminate theta and phi x sintheta=a, y tantheta=b

    Text Solution

    |