Home
Class 12
MATHS
Prove that tan(x - y) + tan(y - z) + tan...

Prove that `tan(x - y) + tan(y - z) + tan(z - x) = tan(x - y) *tan(y -z)* tan(z -x)`.

Promotional Banner

Topper's Solved these Questions

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

Similar Questions

Explore conceptually related problems

If tan ^ (- 1) x + tan ^ (- 1) y + tan ^ (- 1) z = (pi) / (2), then

(tan(x+y)-tan x)/(1+tan(x+y)tan x)=tan y

(tan(x+y)-tan x)/(1+tan(x+y)tan x)=tan y

Prove that : tan^(-1)((x-y)/(1+xy)) + tan^(-1)((y-z)/(1+yz)) + tan^(-1)( (z-x)/(1+zx)) = tan^(-1)((x^2-y^2)/(1+x^2y^2))+tan^(-1)((y^2-z^2)/(1+y^2z^2))+tan^(-1)((z^2-x^2)/(1+z^2x^2))

Prove that ,,(sin(x+y))/(sin(x-y))=(tan x+tan y)/(tan x-tan y)

If tan ^ (- 1) x + tan ^ (- 1) y + tan ^ (- 1) z = pi prove that x + y + z = xyz

If tan^(-1) x + tan^(-1)y + tan^(-1)z= pi then x + y + z is equal to

Prove that: (sin(x+y))/(sin(x-y))=(tan x+tan y)/(tan x-tan y)

If tan(x+ y)tan(x-y)=1 , then the value of tan x is:

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. If A + B + C = pi, show that cot A + sinA/(sin B sin C) = cot B + sin...

    Text Solution

    |

  2. If A + B + C = 0, prove that sum sin 2A = 2sum sin A * (1 + sum cos A...

    Text Solution

    |

  3. Prove that tan(x - y) + tan(y - z) + tan(z - x) = tan(x - y) *tan(y -...

    Text Solution

    |

  4. If alpha + beta + gamma + delta = 2pi then prove that sum tan alpha =...

    Text Solution

    |

  5. If cos(beta - gamma) * cos(gamma - alpha)* cos(alpha - beta) + 1 = 0 ...

    Text Solution

    |

  6. If x + y + z = xyz, prove that x(1 -y^(2)) (1- z^(2))+ y(1- z^(2))(1- ...

    Text Solution

    |

  7. If x + y + z = xyz, prove that (3x -x^(3))/ (1-3x^(2)) + (3y -y^(3))/(...

    Text Solution

    |

  8. If A + B + C = pi then show that cot theta = cot A + cot B + cot C ⇔ s...

    Text Solution

    |

  9. If theta = pi/7 prove that cos theta* cos 2theta * cos 3theta = 1/8

    Text Solution

    |

  10. If alpha = 2pi/7 prove that tan alpha *tan 2alpha + tan 2alpha* tan 4a...

    Text Solution

    |

  11. If alpha = 2pi/7 prove that sec alpha + sec 2alpha + sec 3alpha = -4.

    Text Solution

    |

  12. Prove that sin pi/14* sin 3pi/14 * sin 5pi/14 = 1/8.

    Text Solution

    |

  13. Show that :sin pi/7 *sin 2pi/7* sin3pi/7 = sqrt7/8

    Text Solution

    |

  14. If u = sec theta + tan theta then tan theta in terms of u is.

    Text Solution

    |

  15. If sin x + cos x = m(ne pm 1) and sec x + cosec x = n then n in terms ...

    Text Solution

    |

  16. If alpha gt 0 such that tan(x + alpha) = tan x for all x in R then the...

    Text Solution

    |

  17. If theta = 5pi/9 the sign of the expression cos theta + sin theta is.

    Text Solution

    |

  18. If 5cos 2t + 12sin 2t = lambda sin(2t -tan^(-1)mu) where lambda, mu ar...

    Text Solution

    |

  19. If cos A = 3/4 then the value of 32sin( A/2)* sin (5A/2) is.

    Text Solution

    |

  20. If sin(theta + 3alpha) = 3sin(alpha - theta) then tan theta in terms o...

    Text Solution

    |