Home
Class 11
MATHS
If A+B+C=pi, " prove that sin"^(2) ""A/...

If `A+B+C=pi, " prove that sin"^(2) ""A/2+sin^(2) ""B/2+sin^(2) ""C/2=1-2 sin ""A/2 sin ""B/2 sin ""C/2`

Text Solution

Verified by Experts

The correct Answer is:
`1-2 sin ""A/2sin ""B/2 sin""C/2`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.1|12 Videos
  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.2|11 Videos
  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.12|20 Videos
  • SOLVED PAPER 10

    FULL MARKS|Exercise PART-IV|8 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise Additional Questions Solved|19 Videos

Similar Questions

Explore conceptually related problems

If A + B + C = 180^(@) , prove that sin^(2)A + sin^(2)B - sin^(2)C = 2 sin A sin B cos C

If A + B + C = 180^(@) , prove that sin^(2)A + sin^(2)B + sin^(2) C = 2 + 2 cos A cos B cos C

If A+B+C= pi/2 , show that : sin^2 A + sin^2 B + sin^2 C=1-2 sinA sinB sinC

Prove that sin ( A + B) sin (A - B) = sin^(2) A - sin^(2)B .

Prove that sin^(2)(A + B) - sin^(2)(A - B) = sin 2A sin 2B

Prove that sin (A+B) sin (A-B)=cos^(2) B-cos^(2) A

If A+B+C=180^0 , prove that : cos^2, A/2 + cos^2, B/2 - cos^2, C/2 = 2cos, A/2 cos, B/2 sin, C/2

If A + B + C = 2s, then prove that sin (s - A) sin (s - B) + sin s. sin (s - C) = sin A sin B .