Home
Class 11
MATHS
If A+B=C , then write the value of tan A...

If `A+B=C ,` then write the value of `tan A tanB tanCdot`

Text Solution

Verified by Experts

We know that,
`A+B=C`
`=>tan(A+B)=tanC`
`=>(tanA+tanB)/(1−tanAtanB)=tanC`
`=>tanA+tanB=tanC−tanAtanBtanC`
`=>tanAtanBtanC=tanC−tanA−tanB`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    RD SHARMA|Exercise Solved Examples And Exercises|167 Videos
  • TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES

    RD SHARMA|Exercise Solved Examples And Exercises|193 Videos

Similar Questions

Explore conceptually related problems

If A+B=45^(@) , then find the value of tanA+tanB+tanA tanB .

In a triangle tan A + tan B + tan C=6 and tan A tan B= 2, then the values of tan A, tan B and tan C are

Knowledge Check

  • If A+B+ C=(pi)/(2) then what is the value of tan A tan B +tan B. tan C + tan C tan A?

    A
    0
    B
    1
    C
    `-1`
    D
    tan A tan B tan C
  • In a triangle ABC, tan A + tan B + tan C =6 and tan A tan B =2, then the values of tanA, tan B and tan C are

    A
    1,2,3
    B
    2,1,3
    C
    1,2,0
    D
    none
  • In a triangle ABC , if cos A = cos B cos C , what is the value of tan A- tan B - tan C ?

    A
    0
    B
    `-1`
    C
    1 + tan A tan B tan C
    D
    tan A tan B tan C- 1
  • Similar Questions

    Explore conceptually related problems

    In a triangle tan A+tan B+tan C=6 and tan A tan B=2, then the values of tan A,tan B and tan C are

    If tan(A+B)=p and tan(A+B)=q then write the value of tan2B

    In a Delta ABC, if cos A=cos B cos C, what is the value of tan A-tan B tan C?

    If tan(A+B)=p andtan (A-B)=q then write the value of tan2B.

    If A+B+C=pi, then find value of tan B tan C+tan C tan A+tan A tan B-sec A sec B sec C