Home
Class 11
MATHS
The number of ordered pairs (alpha,beta)...

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

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

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

If cotalphacotbeta=3 ,show that (cos(alpha-beta))/(cos(alpha+beta))=2

The expression cos^2(alpha+beta)+cos^2(alpha-beta)-cos2alpha.cos2beta, is

sin alpha + sin beta = a "and" cos alpha + cos beta = b cos (alpha + beta) =

sin alpha + sin beta = a "and" cos alpha + cos beta = b sin (alpha + beta) =

Find the values of alpha and beta[ 0 lt alpha, beta lt (pi)/(2)] satisfying the equation cos alpha cos beta cos (alpha+ beta)=-(1)/(8)

Prove that cos (alpha+beta) +sin (alpha-beta)=2sin(pi/4+alpha)cos(pi/4+beta)

If cot alpha cot beta = 3,"show that", (cos (alpha - beta))/(cos (alpha + beta)) =2

If sin alpha = sin beta and cos alpha = cos beta then-

Eliminte alpha and beta : a sin alpha=bsin beta, a cos^2alpha+bcos^2beta=1 ,a cot^2alpha+b cot ^2beta=1

sin alpha + sin beta = a "and" cos alpha + cos beta = b (tan alpha + tan beta)/(1-tan alpha tan beta)=

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. tan9^@-tan27^@-tan63^@+tan81^@ is equal to

    Text Solution

    |

  2. (1+sintheta-costheta)/(1+sintheta+costheta)=

    Text Solution

    |

  3. The number of ordered pairs (alpha,beta), where alpha,betain(-pi,pi) s...

    Text Solution

    |

  4. The number of solutions of the equation x/100=sinx is

    Text Solution

    |

  5. If mtan(theta-30^@)=ntan(theta+120^@), then cos2theta is equal to

    Text Solution

    |

  6. The equation cos2x+asinx=2a-7 possessses a solution if

    Text Solution

    |

  7. (sin5theta+sin2theta-sintheta)/(cos5theta+2cos3theta+2cos^2theta+costh...

    Text Solution

    |

  8. If 4nalpha=pi, thencotalpha cot2alpha cot3alpha.... cot(2n-1)alpha is ...

    Text Solution

    |

  9. If thetane(2n+1)pi/2. ninI, then the least value of (sintheta+cosecthe...

    Text Solution

    |

  10. If sinx+sin^2x=1n then the value of cos^12x+3cos^10x+3cos^8x+cos^6x-1 ...

    Text Solution

    |

  11. If "coses"theta-sintheta=m,sectheta-costheta=n,"eliminate"theta

    Text Solution

    |

  12. Find the value of (1+cos (pi/8))(1+cos(3pi/8))(1+cos(5pi/8))(1+cos(7pi...

    Text Solution

    |

  13. (cos^4(pi/8))+(cos^4((3pi)/8))+(cos^4((5pi)/8))+(cos^4((7pi)/8)) is

    Text Solution

    |

  14. The value of underset(r=1)overset9sum sin^2(rpi)/18=

    Text Solution

    |

  15. If A+B+C=(3pi)/2, then cos2A +cos2B+cos2C is

    Text Solution

    |

  16. The number of points of intersection of 2y=1 and y=sinx, -2pilexle2pi

    Text Solution

    |

  17. If sinalpha, sinbeta and cosalpha are in G.P. then roots of the equati...

    Text Solution

    |

  18. If x=secphi-tanphi and y=cosecphi+cotphi, then

    Text Solution

    |

  19. For any triangle ABC, ((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)is equa...

    Text Solution

    |

  20. Which one is correct?

    Text Solution

    |