Home
Class 12
MATHS
If A,B,C are the angles of a triangle, s...

If A,B,C are the angles of a triangle, show that,
(iv) `(tan(B + C) + tan (C + A) + tan (A + B))/(tan (pi - A) + tan(2pi - B) + tan (3pi - C)) = 1`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise EXERCISE - LONG ANSWER TYPE QUESTIONS (5 marks)|11 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - MULTIPLE CORRECT ANSWERS TYPE|5 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise EXERCISE - VERY SHORT ANSWER TYPE QUESTIONS (2 marks)|14 Videos

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise sample questions for competive examination|20 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

If A,B,C are the angles of a triangle, show that, (ii) tan ((A - B)/2) = cot (C/2 + B) .

If A, B, C are the angles of a triangle then tan ((B+C)/2)=

If A, B, C are three angles of /_\ABC , then (i) tan ((A - B)/2) =

Prove that, tan (B - C) + tan (C -A ) + tan (A -B) = tan (B-C) tan (C-A) tan (A -B)

A,B,C are three angles of a triangle and "sin" (A+c/2)= n "sin" C/2 "tan" A/2 "tan" B/2 =

If A , B and C are interior angles of a triangle ABC, then show that tan ((A+B) /(2)) =cot (C/2)

In an acute angled triangle ABC, show that tan^2A+tan^2B+tan^2Cge9

If C is a right angle in the triangle ABC, show that, tan^(-1) 'a/(b+c)' + tan^(-1) 'b/(c+a)' = pi/4 .

In an acute angled triangle ABC, prove that tan^(2)a+tan^(2)B+tan^(2) C ge9 .

If A, B, C, D are the four angle taken in order of a cyclic quadrilateral, prove that (i) tan A + tan B + tan C + tan D = 0

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES-EXERCISE - SHORT ANSWER TYPE QUESTIONS (4 marks)
  1. If tan theta = 15/8 and cos theta is negative, find the value of (sin ...

    Text Solution

    |

  2. If theta lies in the fourth quadrant and "sec" theta = 5/3 then find t...

    Text Solution

    |

  3. Find the sum of n terms: sin theta + sin(pi + theta) + sin (2pi + th...

    Text Solution

    |

  4. If n is an integer, prove that, (i) cos(n pi + theta) = (-1)^(n) cos...

    Text Solution

    |

  5. If n is an integer, prove that, (ii) tan{(n pi)/2 + (-1)^(n) pi/4} =...

    Text Solution

    |

  6. If n is an integer, prove that, (iii) sin{n pi + (-1)^(n) cdot (pi)/...

    Text Solution

    |

  7. If n is an integer, prove that, (iv) tan (n pi + alpha) = tan alpha

    Text Solution

    |

  8. If A,B,C are the angles of a triangle, show that, (i) sin B cos(C +A...

    Text Solution

    |

  9. If A,B,C are the angles of a triangle, show that, (ii) tan ((A - B)/...

    Text Solution

    |

  10. If A,B,C are the angles of a triangle, show that, (iii) (cos A cos C...

    Text Solution

    |

  11. If A,B,C are the angles of a triangle, show that, (iv) (tan(B + C) +...

    Text Solution

    |

  12. If A, B, C, D are the four angle taken in order of a cyclic quadrilate...

    Text Solution

    |

  13. If A, B, C, D are the four angle taken in order of a cyclic quadrilate...

    Text Solution

    |

  14. If A, B, C, D are the four angle taken in order of a cyclic quadrilate...

    Text Solution

    |

  15. If A, B, C, D are the four angle taken in order of a cyclic quadrilate...

    Text Solution

    |

  16. Prove that, tan 1^(@) tan 2^(@) tan 3^(@).....tan 87^(@) tan 88^(@) ta...

    Text Solution

    |

  17. Prove that, tan^(2) (pi/6) cdot tan^(2)(2pi/16) cdot tan^(2) (3pi/16) ...

    Text Solution

    |

  18. Show that, tan 181^(@) tan182^(@) tan 183^(@).....tan 267^(@) tan 268^...

    Text Solution

    |

  19. Prove that, cos^(2) (pi/4) + sin^(2) (3pi/4) + sin^(2) (5pi/4) + sin^(...

    Text Solution

    |

  20. Find the minimum value of 2^(sin^2 theta) + 2^(cos^2 theta).

    Text Solution

    |