Home
Class 12
MATHS
cos(alpha-beta)=1a n dcos(alpha+beta)=l/...

`cos(alpha-beta)=1a n dcos(alpha+beta)=l/e ,` where `alpha,betamu in [-pi,pi]` . Number of pairs of `alpha,beta` which satisfy both the equations is 0 (b) 1 (c) 2 (d) 4

A

0

B

1

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|22 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

cos(alpha-beta)=1 and cos(alpha+beta)=(l)/(e), where alpha,beta mu in[-pi,pi]. Number of pairs of alpha,beta which satisfy both the equations is 0(b)1(c)2 (d) 4

If sin (alpha - beta) =1/2 and cos (alpha + beta) =1/2, where alpha and beta are positive acute angles, then alpha and beta are

If sin(alpha+beta)=1,sin(alpha-beta)=(1)/(2) where alpha,beta in[0,(pi)/(2)], then tan(alpha+2 beta)tan(2 alpha+beta) is equal to

cos alpha+cos beta-cos(alpha+beta)=(3)/(2) then show that alpha=beta=(pi)/(3)

If 2 sin 2alpha=tan beta,alpha,beta, in((pi)/(2),pi) , then the value of alpha+beta is

If a tan alpha+b tan beta=(a+b)tan((alpha+beta)/(2)) where alpha!=beta ,prove that a cos beta=b cos alpha

The number of ordered pairs (alpha,beta) , where alpha,beta in(-pi,pi) satisfying cos(alpha-beta)=1 and cos(alpha+beta)=(1)/(e) is

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If alpha and beta are non-zero real number such that 2(cos beta-cos al...

    Text Solution

    |

  2. Let -1/6 < theta < -pi/12 Suppose alpha1 and beta1, are the root...

    Text Solution

    |

  3. The value of sum(k=1)^(13) (1)/(sin(pi/4 + ((k-1)pi)/(6))sin(pi/4 + (k...

    Text Solution

    |

  4. Let f : (-1, 1) -> R be such that f(cos4theta) = 2/(2-sec^2theta for t...

    Text Solution

    |

  5. The number of all possible values of theta, where 0 lt theta lt pi, f...

    Text Solution

    |

  6. For 0 lt theta lt pi/2, the solution (s) of sum(m=1)^(6) cosec (the...

    Text Solution

    |

  7. If sin^ 4 x/2+cos^4 x/3 =1/5 then

    Text Solution

    |

  8. Let theta in (0,pi/4) and t1=(tan theta)^(tan theta), t2=(tan theta)6(...

    Text Solution

    |

  9. cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [-pi...

    Text Solution

    |

  10. If 5(tan^2x - cos^2x)=2cos 2x + 9, then the value of cos4x is

    Text Solution

    |

  11. Let fk(x) = 1/k(sin^k x + cos^k x) where x in RR and k gt= 1. Then f4(...

    Text Solution

    |

  12. The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as (1) s...

    Text Solution

    |

  13. If a Delta PQR " if" 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1 , ...

    Text Solution

    |

  14. If A = sin^2x + cos^4 x, then for all real x :

    Text Solution

    |

  15. Let cos (alpha+beta) = 4/5 and sin(alpha-beta)=5/13 where 0<= alpha,...

    Text Solution

    |

  16. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

    Text Solution

    |

  17. A triangular park is enclosed on two sides by a fence and on the third...

    Text Solution

    |

  18. If 0 lt x lt pi and cos x + sin x = 1/2, then tan x is

    Text Solution

    |

  19. In Delta PQR , /R=pi/4, tan(P/3), tan(Q/3) are the roots of the equati...

    Text Solution

    |