Home
Class 12
MATHS
If A+B+C=0 , then the value of sin^2A+co...

If `A+B+C=0` , then the value of `sin^2A+cosC(cosAcosB-cosC)+cosB(cosAcosC-cosB)` is equal to: `-1` (b) 0 (c) 1 (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

(a+b+c)(cosA+cosB+cosC)

If cosA+cosB+cosC=0, then cos3A+cos3B+cos3C is equal to

cosA+cosB+cosC is equal to (A) r/R (B) R/r (C) 1 (D) 1+r/R

If A+B+C=pi, then the value of |"sin"(A+B+C)sin(A+C)cosC-sinB0tanCcos(A+B)tan(B+C)0|i se q u a lto 0 (b) 1 (c) 2sinBtanAcosC (d) none of these

If ABCD is a cyclic quadrilateral, then the value of cosA-cosB+cosC-cosD is equal to

If A+B+C=pi, then the value of |[sin(A+B+C),sin(A+C),cosC],[-sinB,0,tanC],[cos(A+B),tan(B+C),0]| is equal to (a) 0 (b) 1 (c) 2sinBtanAcosC (d) none of these

a(cosC-cosB)=2(b-c)cos^2A/2

If A+B+C=180^@ , then prove that cos^2 A + cos^2 B +cos^2 C=1-2cosA cosB cosC .

If A+B+C=pi , prove that : cos2A+cos2B+cos2C=-1-4cosA cosB cosC

In a triangle ABC , if a,b,c are the sides opposite to angles A , B , C respectively, then the value of |{:(bcosC,a,c cosB),(c cosA,b,acosC),(acosB,c,bcosA):}| is (a) 1 (b) -1 (c) 0 (d) acosA+bcosB+c cosC

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The solution set of equation |2x+3|-|x-1| =6, is

    Text Solution

    |

  2. The number of integral solution of (x^(2)(3x-4)^(3)(x-2)^(4))/(In(2x-1...

    Text Solution

    |

  3. If A+B+C=0 , then the value of sin^2A+cosC(cosAcosB-cosC)+cosB(cosAcos...

    Text Solution

    |

  4. If x=3-sqrt(8), then x^3+1/(x^3) is equal to (a)6 (b) 198 (c) 6sqrt(2)...

    Text Solution

    |

  5. If Pa n dQ are sum and product respectively of all real values of x sa...

    Text Solution

    |

  6. A 3-digit number has, from left to right, the digits a, b and c with a...

    Text Solution

    |

  7. If A , B , C are three real numbers and p=[A+B+C] and q=[A]+[B]+[C]dot...

    Text Solution

    |

  8. Find tha value of the expression 2/log4(2000)^6+3/log5(2000)^6

    Text Solution

    |

  9. If b^2>4a c then roots of equation a x^4+b x^2+c=0 are all real and di...

    Text Solution

    |

  10. If a x^2+b x+6=0 does not have distinct real roots, then find the leas...

    Text Solution

    |

  11. log(3)(1+(1)/(3))+log(3)(1+(1)/(4))+log(3)(1+(1)/(5))+..+log(3)(1+(1)/...

    Text Solution

    |

  12. If [x]=[pi] , where [.] denotes greatest integer function, then (a) x ...

    Text Solution

    |

  13. The number of real solutions of equation x^(log(x)2)+x^(2)=3x is

    Text Solution

    |

  14. If log(10)(x-1)3-3log(10)(x-3)=log(10)8,then log(x)625 has the value e...

    Text Solution

    |

  15. If log (10)xlog 15-a and log75-b, then log(75)45 is:

    Text Solution

    |

  16. If x=underset(n=1)overset(2000)prodn, then the value of the expression...

    Text Solution

    |

  17. The sum of [1/2]+[1/2+1/(2000)]+[1/2+2/(2000)]+[1/2+3/(2000)]++[1/2+(1...

    Text Solution

    |

  18. The complete solution set of the inequation, -2<[x+2]lt=5w h e r e[dot...

    Text Solution

    |

  19. Let N=(log(3)135)/(log(15)3)-(log(3)5)/(log(405)3). Then N is

    Text Solution

    |

  20. Two consecutive vertices of a rectangle of area 10u n i t s^2 are (1, ...

    Text Solution

    |