Home
Class 12
MATHS
If sinx+siny=p,cosx+cosy=q then sec(x+y)...

If `sinx+siny=p,cosx+cosy=q` then `sec(x+y)=`

A

`(2pq)/(p^(2)+q^(2))`

B

`(p^(2)+q^(2))/(q^(2)-p^(2))`

C

`(2pq)/(sqrt(p^(2)+q^(2)))`

D

`(p+q)/(p^(2)+q^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2019 (4 MAY SHIFT 2)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

Similar Questions

Explore conceptually related problems

If sin x+siny=1/4,cos x+cosy=1/3 then tan((x+y)/2)=

If sinx siny = 3 (cosy - cos x) then (sin3x)/(sin3y) =

If sinx=cosx,0lexle90^@ , then x =

If -pilexlepi,-pileylepi and the cosx+cosy=2 then cos(x-y) =

If x and y are acute angles such that cos x+ cosy=(3)/(2) and sinx + sin y=(3)/4 " then " sin(x+y)=

If log_(cosx)sinx+log_(sinx)cosx=2 , then x =

If a,b, ne 0 and sinx+siny=a and cosx+cosy=b , find two values of tan((x+y)/2)

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2019 (6 MAY SHIFT 1)-MATHEMATICS
  1. If sin2thetaandcos2theta are solution of x^(2)+bx-c=0 then

    Text Solution

    |

  2. If cottheta+tantheta=3and1-cos^(2)theta-alphacostheta=0, then

    Text Solution

    |

  3. If sinx+siny=p,cosx+cosy=q then sec(x+y)=

    Text Solution

    |

  4. The number of solutions of the equation sinA-5sin2A+sin3A

    Text Solution

    |

  5. If x(1),x(2),x(3) are the real roots of the equation x^(3)-x^(2)tanthe...

    Text Solution

    |

  6. If y=loge tan ((pi)/(4)+(x)/(2)) then tan h (y)/(2)=

    Text Solution

    |

  7. In a DeltaABC if a+3b=3c then sin""(A)/(2)

    Text Solution

    |

  8. Let one of the sides of a triangle be 17 cm and the sum of all the sid...

    Text Solution

    |

  9. If the perimeter of the triangle ABC is 50 cm then bcos^(2)""(C)/(2)+c...

    Text Solution

    |

  10. If P, Q, R and S are the points with position vectors hati+hatj+hatk,2...

    Text Solution

    |

  11. If the plane passing through the points hati+hatj+hatk,2hati-hatk and ...

    Text Solution

    |

  12. If the vector 19hati+22hatj+5hatk bisects an angle between the vectors...

    Text Solution

    |

  13. Let p=hati+2hatj-hatk,q=2hati-hatj+hatk. If a and b are two vectors su...

    Text Solution

    |

  14. If a=hati+hatj+hatk,a.b=1andaxxb=hatj-hatk then b=

    Text Solution

    |

  15. The distance of the origin from the plane r.(3hati+4hatj-12hatk)=7 mea...

    Text Solution

    |

  16. If alpha,beta,gamma are the mean deviations about the mean, median and...

    Text Solution

    |

  17. The coefficient of variation for the following data is

    Text Solution

    |

  18. In a town the probability that a sick person may need to be admitted t...

    Text Solution

    |

  19. A bag contains 6 red, 2 white and 8 blue balls. Three are drawn at ran...

    Text Solution

    |

  20. A boy speaks truth in 3 out of 5 times. If he throws a die and tells t...

    Text Solution

    |