Home
Class 11
MATHS
If A+B+C= 2S , " then " sin (S-A) sin(S-...

If `A+B+C= 2S , " then " sin (S-A) sin(S-B) + sinS sin(S-C)= `

A

`4 cos ""A/2 .cos ""B/2.cos""C/2`

B

`4cos ""A/2.cos""B/2.sin""C/2`

C

`4cos ""A/2.sin""B/2 .sin"C/2`

D

`4 sin ""A/2. sin ""B/2. sin""C/2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise LACTURE SHEET (EXERCISE-I Straight Objective Type Questions)|28 Videos

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise LACTURE SHEET (EXERCISE-I More than One correct answer Type Questions)|5 Videos

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) ( LEVEL - II (ADVANCED) INTEGER ANSWER TYPE QUESTIONS)|7 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos

Similar Questions

Explore conceptually related problems

If A +B+C= 2S , then prove that (i) sin (S-A)+sin (S-B) + sin C=4 cos . (S-A)/(2) cos. (S-B)/(2) sin .(C)/(2) (ii) cos (S-A)+cos (S-B)+cos C=-1+4 cos. (S-A)/(2) cos.(S-B)/(2)cos. (C)/(2)

If A+B+C=2S, " then " sin^(2)S-sin^(2)(S-A)+sin^(2)(S-B)-sin^(2)(S-C)=

If A+B+C = 2S , then prove that sin(S-A)+sin(S-B)+sinC = 4 cos ((S-A)/2) cos ((S-B)/2) sin C/2 .

A+B + C = 2S implies sin S + sin (S -A) + sin (S - B) - sin (S - C) =

If A+B+C= 90^(@) " then " sin 2A+ sin 2B- sin 2C=

If A+B+C=180^@ " then " sin A + sin B- sin C=

If A+B+C=0^@ " then " sin A + sin B + sin C =

If A+B+C= 180^(@) , " then " ( sin 2A- sin 2B- sin 2C)/(sin 2B- sin 2A - sin 2C)=

If A+B+C=180^(@) " then " sin A + sin B+ sin C =

AAKASH SERIES-TRANSFORMATIONS -PRACTICE SHEET (EXERCIE) (LEVEL-I SINGLE ANSWER TYPE QUESTIONS)
  1. If cos x + cos y + cos z =0 = sin + sin y +sin z then tan (x-y) =

    Text Solution

    |

  2. cos x + cos y + cos z = 0 and sin x + sin y + sin z, then cos ^(2) ((...

    Text Solution

    |

  3. If x and y are acute angle such that cosx+"cos" y=(3)/(2) and sin x+"s...

    Text Solution

    |

  4. If cos alpha+ cos beta= a, sin alpha+ sin beta= b and alpha- beta= 2 t...

    Text Solution

    |

  5. If cos (theta - alpha) , cos theta , cos (theta + alpha ) are in H.P....

    Text Solution

    |

  6. If sin (y+z-x), sin (z+x-y), sin (x+y-z) are in A. P , then prove that...

    Text Solution

    |

  7. If x,y,z are in A.P, then ( sin x - sin z)/( cos z - cos x) is equal t...

    Text Solution

    |

  8. If A, B, C, D be the angle of a quadrilateral, then (tan A + tan B + t...

    Text Solution

    |

  9. If cos theta (1) = 2 cos theta (2), then tan (( theta (1) + theta (2)...

    Text Solution

    |

  10. If (tan(alpha + beta - gamma))/(tan(alpha - beta + gamma)) = (tan gamm...

    Text Solution

    |

  11. (( cos alpha - cos 3 alpha ) ( sin 8 alpha + sin 2 alpha ))/( ( sin 5 ...

    Text Solution

    |

  12. If cos x + cos y - cos (x + y ) =3/2, the

    Text Solution

    |

  13. x tan ( theta - (pi)/(6)) = y tan (theta + ( 2pi)/(3)) implies (x + y)...

    Text Solution

    |

  14. If (1+sqrt(1+a)) tan alpha =1 + sqrt(1- alpha ) then sin 4 alpha =

    Text Solution

    |

  15. cos ^(3) x sin 2x = sum (x =0) ^(n) ar sin (rx) AA x in R, then

    Text Solution

    |

  16. If cos ^(2) A + cos ^(2) B = cos ^(2) C = 1 then show that Delta A...

    Text Solution

    |

  17. The value of ((cos A + coa B)/( sin A - sin B)) ^(2015) + ((sin A + si...

    Text Solution

    |

  18. (cos x )/( cos (x-2y))= lambda implies tan(x-y) tan y=

    Text Solution

    |

  19. If alpha + beta + gamma = 2 theta , " then " cos theta + cos ( theta...

    Text Solution

    |

  20. If A+B+C= 2S , " then " sin (S-A) sin(S-B) + sinS sin(S-C)=

    Text Solution

    |