Home
Class 12
MATHS
Simplify: (sin(A - B))/(sin A sin B) + (...

Simplify: `(sin(A - B))/(sin A sin B) + (sin(B - C))/(sin B sin C) + (sin (C - A))/(sin C sin A)`

Text Solution

Verified by Experts

The correct Answer is:
`=cotB - cotA + cotC - cotB + cotA - cotC = 0`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Multiple Choice Type Questions|12 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Very Short Answer type Questions|23 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - ASSERTION-REASON TYPE|2 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

Simplify: 1 + (sin(A - B))/(cos A cosB) + (sin (B - C))/(cos B cos C) + (sin (C - A))/(cos C cos A)

sin C + sin D=

sin C - sin D =

(iv) a sin (B-C) + b sin(C-A) + c sin (A-B)=0

sin (A+B) sin (A-B)=

Simplify: sin (B + C) sin (B - C) + sin (C + A) sin (C - A) + sin(A + B) sin (A - B)

In any triangle ABC, prove that (sin A)/(sin B + sin C) + (sin B)/(sin C + sin A) + (sin C)/(sin A + sinB) ge 3/2 .

In any triangle ABC, prove that (a^(2)sin(B-C))/(sin B + sinC) + (b^(2)sin(C-A))/(sinC + sinA) +(c^(2)sin(A-B))/(sinA + sinB)=0

(ix) (a^(2) sin (B-C))/(sinA) + (b^(2) sin (C-A))/(sin B) + (c^(2) sin (A-B))/(sin C)=0

Simplify: cosA sin(B - C) + cos B sin (C - A) + cosC sin(A -B)