Home
Class 12
MATHS
If A + B + C = pi, show that cot A + si...

If `A + B + C = pi`, show that `cot A + sinA/(sin B sin C) = cot B + sin B/(sin C sin A) = cot C + sin C/(sin A sin B)`

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 A + B + C = pi then (cos A) / (sin B sin C) + (cos B) / (sin C sin A) + (cos C) / (sin A sin B) =

If A+B+C=pi , show that : 1/2 sum sin^2 A (sin 2B+sin 2C) = 3 sin A sin B sin C .

(cos A)/(sin B sin C)+(cos B)/(sin C sin A)+(cos C)/(sin A sin B)=2

(sin(A - B))/(sin A sin B) + (sin(B - C))/(sin B sin C) + (sin (C - A))/(sin C sin A)=0

If A+B+C= pi/2 , show that : sin^2 A + sin^2 B + sin^2 C=1-2 sinA sinB sinC

Prove that sin(A+B+C)=sin A cos B cos C+cos A sin B cos C+cos A cos B sin C-sin A sin B sin Ccos(A+B+C)=cos A cos B cos C-cos A sin B sin C-sin A cos B sin C-sin A sin B cos C

sin (B + CA) + sin (C + AC) + sin (A + BC) = 4sin A sin B sin C

If A+B+C =pi , prove that sin 2A+sin 2B+sin 2C=4 sin Asin B sin C.

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. If alpha + beta- gamma= pi, prove that sin^(2)alpha + sin^(2)beta - s...

    Text Solution

    |

  2. If alpha + beta + gamma = 2 theta, prove that cos theta + cos(theta- ...

    Text Solution

    |

  3. If A + B + C = pi, show that cot A + sinA/(sin B sin C) = cot B + sin...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |