Home
Class 12
MATHS
If Aalpha=[cosalphasinalpha-sinalphacosa...

If `A_alpha=[cosalphasinalpha-sinalphacosalpha],t h e nA_alphaA_beta=` (a)`A_(alpha+beta)` (b) `A_(alphabeta)` (c) `A_(alpha-beta)` (D) None of these

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If A_(alpha)=[cos alpha sin alpha-sin alpha cos alpha], then prove that A_(alpha)A_(beta)=A_(alpha+beta) for every positive integer n.

If cos alpha+cos beta=0=sin alpha+sin beta, then cos2 alpha+cos2 beta is equal to (a)-2sin(alpha+beta)(b)-2cos(alpha+beta)(c)2sin(alpha+beta)(d)2cos(alpha+beta)

If cot(alpha+beta)=0, then sin(alpha+2 beta) can be (a)-sin alpha(b)sin beta(c)cos alpha(d)cos beta

A_((alpha))=[{:(cos alpha,-sin alpha),(sin alpha,cos alpha):}],A_((beta))=[{:(cos beta,-sin beta),(sin beta,cos beta):}] Which one of the following is correct ?

If alpha+beta=90^@ and alpha:beta=2:1 then sinalpha:sinbeta=

If tan alpha=(1-cos beta)/(sin beta), then a )tan3 alpha=tan2 beta(b)tan2 alpha=tan beta(c)tan2 beta=tan alpha(d) none of these

a((alpha^(2))/(beta)+(beta^(2))/(alpha))+b((alpha)/(beta)+(beta)/(alpha))

If alpha,beta are non-real roots of ax^(2)+bx+c=0,(a,b,c in R), then (A)alpha beta=1(B)alpha=beta(C)(a beta)/(alpha beta)=1(D)alpha=bar(beta)

Let (theta-alpha)(sin(theta-alpha))/(sin(theta-beta))=(a)/(b) and (cos(theta-alpha))/(cos(theta-beta))=(c)/(d)then(ac+bd)/(ad+bc)= (a)cos (alpha-beta)(b)sin(alpha-beta)sin(alpha+beta)(d) none of these

RESONANCE DPP-JEE MAINS-All Questions
  1. The matrix X for which [1-4 3-2]X=[-16-6 7 2] [-2 4-3 1] (b) [-1/5 ...

    Text Solution

    |

  2. The inverse of a skew symmetric matrix of odd order is 1)a symmetric ...

    Text Solution

    |

  3. If Aalpha=[cosalphasinalpha-sinalphacosalpha],t h e nAalphaAbeta= (...

    Text Solution

    |

  4. A parabola with vertex (2, 0) and axis of symmetry parallel to the ...

    Text Solution

    |

  5. The range of the function f(x) = sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2], ...

    Text Solution

    |

  6. The range of parameter ' a ' for which the variable line y=2x+a lies...

    Text Solution

    |

  7. Let f(x)=4x ^2-4ax+a^2-2a+2 x,aϵR If y=f(x) takes minimum value 3 on x...

    Text Solution

    |

  8. The logically equivalent proposition of phArrq is (p^^q)vv(p^^q) b. (p...

    Text Solution

    |

  9. If in triangle A B C ,A-=(1,10), circumcentre -=(-1/3,2/3) and orthoce...

    Text Solution

    |

  10. Let f(x)=4x^2-4ax+a^2-2a+2 be a quadratic polynomial in x, a be any re...

    Text Solution

    |

  11. Which of the following determinants(s) vanish(es)? |4 1 2 10 2 5 3 4 3...

    Text Solution

    |

  12. If vec a , vec ba n d vec c are non-coplanar vectors, prove that the ...

    Text Solution

    |

  13. If a ,b ,c are sides of a scalene triangle, then value of |a b c b c ...

    Text Solution

    |

  14. Set of all values of x satisfying in inequation cos^(-1)sqrt(x)>si...

    Text Solution

    |

  15. If y=a x^2+b x+c represents the curve given in the figure and b^2=2(b+...

    Text Solution

    |

  16. Which of the following function(s) defined below are continuous at the...

    Text Solution

    |

  17. Given two circle x^2+y^2-6x-2y+5=0&x^2+y^2+6x+22 y+5=0 . The tangent a...

    Text Solution

    |

  18. Find the domain of the following function: f(x)=1/([|x-1|]+[|12-x|]-11...

    Text Solution

    |

  19. The sides of a rhombus are parallel to y=2x+3a n d2y=x+5 . The diagona...

    Text Solution

    |

  20. The function f(x)=(tan^(-1)x)^3-(cot^(-1)x)^2+tan^(-1)x+2 is (a)decr...

    Text Solution

    |