Home
Class 12
MATHS
In triangle ABC, prove that sin(B+C-A)+s...

In triangle ABC, prove that `sin(B+C-A)+sin(C+A-B)+sin(A+B-C)=4sin A sin B sin C`.

Text Solution

AI Generated Solution

To prove that in triangle ABC, the equation \[ \sin(B+C-A) + \sin(C+A-B) + \sin(A+B-C) = 4 \sin A \sin B \sin C \] holds, we can follow these steps: ...
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise 3.1|11 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise 3.2|7 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Multiple Correct Answers Type|6 Videos

Similar Questions

Explore conceptually related problems

In any triangle ABC,prove that a sin (B-C)+b sin(C-A)+c sin(A-B)=0

In any triangle ABC, prove that: a sin(B-C)+bs in(C-A)+c sin(A-B)=0

In a triangle ABC, prove b sin B-c sin C=a sin(B-C)

In any triangle ABC , prove that a sin A-b sin B -=c sin (A-B) .

In triangle ABC , prove that b^2sin2C+c^2sin2B=2bcsinA .

In a Delta ABC, prove that (sin A+sin B)(sin B+sin C)(sin C+sin A)>sin A sin B sin C

If A+B+C=180^(@), then prove that sin2A+sin2B+sin2C=4sin A sin B sin C

In any triangle ABC, prove that following: b sin B-C sin C=a sin(B-C)

If A+B+C=0^(@) then prove that sin2A+sin2B+sin2C=-4sin A sin B sin C