Home
Class 11
MATHS
If A + B + C = 180^(@), then prove that ...

If A + B + C = `180^(@)`, then prove that tan A + tan B + tan C = tan A tan B tan C.

Answer

Step by step text solution for If A + B + C = 180^(@), then prove that tan A + tan B + tan C = tan A tan B tan C. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Exercise 3(k)Long Answer type Question-I|2 Videos

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Exercise 3(l)Short Answer type Question|1 Videos

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Exercise 3(J)Long Answer type Question-II|1 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Chapter test|12 Videos

Similar Questions

Explore conceptually related problems

(a) tan A+tan B+tan C=tan A tan B tan C

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

Knowledge Check

  • If A+B + C =180^(@), then tan A + tan B + tan C is equal to

    A
    `tan A tan B tan C`
    B
    ` 2 tan A tan B tan C`
    C
    `-tan A tan B tan C`
    D
    ` 1-4 tan A tan B tan C`

  • If A+C =B , then tan A tan B tan C =

    A
    tan A tan B `+` tan C
    B
    tan B- tan C - tan A
    C
    tan A `+` tan B - tan C
    D
    `- ( Sigma tan A )`

  • If A+C=B , then tan A tan B tan C = ?

    A
    `tanAtanB-tanC`
    B
    `tanB-tanC-tanA`
    C
    `tanA+tanB-tanC`
    D
    `-tanAtanB+tanC`

    • Similar Questions

    Explore conceptually related problems

    If A+B+C = 180^(@) , then ( tan A + tan B + tan C )/(tan A. tan B. tanC ) =1

    underset tan If A+tan B+tan C=tan A tan B tan C

    underset tan A If A+tan B+tan C=tan A*tan B.tan C

    If A+B+C=180^(@) , prove that: "tan"2A+ "tan"2B+"tan" 2C="tan" 2A "tan"2B tan 2C

    A+C=B rArr tan A tan B tan C=

    Home
    Profile