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

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

Text Solution

Verified by Experts

The correct Answer is:
2 + 2 cos A cos B cos C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    SURA PUBLICATION|Exercise EXERCISE 3.8|18 Videos
  • TRIGONOMETRY

    SURA PUBLICATION|Exercise EXERCISE 3.9|16 Videos
  • TRIGONOMETRY

    SURA PUBLICATION|Exercise EXERCISE 3.6|21 Videos
  • SURAS MODEL QUESTION PAPER -2

    SURA PUBLICATION|Exercise section -IV|7 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS - SECTION - D|3 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 A + sin B + sin C = 4 cos (A)/(2) cos"" (B)/(2) cos"" (C )/(2)

If A + B + C = 180^(@) , prove that sin 2A + sin 2B + sin 2C = 4 sin A sin B sin C

If A + B + C = (pi)/(2) , prove that sin 2A + sin 2B + sin 2C = 4 cos A cos B cos C

If A+B+C=pi prove that cos^(2) A+cos^(2) B+cos^(2) C=1 - 2cos A cos B cos C .

If A + B + C = 180^(@) , prove that cos A + cos B - cos C = -1 + 4 cos (A)/(2) cos"" (B)/(2) sin"" (C )/(2)

If A + B + C = 180^(@) , prove that sin(B + C - A) + sin (C + A - B) + sin(A + B + C) = 4 sin A sin B sin C.

Prove that cos2A=cos^2 A -sin^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 = (pi)/(2) , prove that cos 2A + cos 2B + cos 2C = 1 + 4 sin A sin B cos C