Home
Class 14
MATHS
If x,y are positive acute angles, x+ylt9...

If x,y are positive acute angles, `x+ylt90^(@) and sin(2x-20^(@))=cos(2y+20^(@))`, then value of `sec(x+y)` is,

A

5

B

`sqrt(2)`

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise EXERCISES (Multiple Choice Questions)|350 Videos
  • TIME, SPEED & DISTNACE

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise QUESTIONS|108 Videos

Similar Questions

Explore conceptually related problems

x,y, be two positive acute angles , x+ylt90^(@)andsin(2x-20^(@))=cos(2y+20^(@)) then value of tan(x+y) is

If x , y are acute angles , 0ltx+ylt90^(@)and sin(2x-20^(@))=cos(2y+20^(@)) , then the value of tan (x+y) is :

If cos(3x-20^(@))=sin(3y+20^(@)) then the value of (x+y) is

If sin (3x - 20^@) = cos(3y + 20^@) , then the value of (x + y) is

If x,y are actue angles , where 0 lt x + y lt 90^(@) and sin (3x-40^(@))= cos (3y+40^(@)) , then the value of tan (x+y) is equal to :

If x and y are positive acute angles such that sin(4x - y) = 1 and cos(2x + y) = 1/2, then what is the value of cot (x + 2y)?

If sin (x+y)=cos (x-y), then the value of cos^2x is :

If cos x + cos y =2, then value of sin x + sin y is

ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. If costhetacosec23^(@)=1, the value of theta is

    Text Solution

    |

  2. If sin(x+y)=cos(x-y), then find the value of cos^(2)x.

    Text Solution

    |

  3. If x,y are positive acute angles, x+ylt90^(@) and sin(2x-20^(@))=cos(2...

    Text Solution

    |

  4. If A and B are complementary angles, find the value of sqrt((tanAtanB+...

    Text Solution

    |

  5. A and B are complementary angles, then find the value of sinAcosB+cosA...

    Text Solution

    |

  6. If theta is an acute angle and sintheta=costheta, then find the value ...

    Text Solution

    |

  7. If sin(x+y)=cos[3(x+y)], then the value of tan[2(x+y)] is.

    Text Solution

    |

  8. If sec(5theta-50^(@))=cosec(theta+32^(@)), then the value of theta is:...

    Text Solution

    |

  9. If x=asinthetaandy=btantheta, then the value of (a^(2))/(x^(2))-(b^(2)...

    Text Solution

    |

  10. If x=asinthetaandy=btantheta, then the value of (a^(2))/(x^(2))-(b^(2)...

    Text Solution

    |

  11. If x=asecthetacostheta,y=bsecthetasinthetaandz=thetatantheta, then fin...

    Text Solution

    |

  12. Find the value of 3sin20^(@)-4sin^(3)20^(@).

    Text Solution

    |

  13. Find the value of 3cos20^(@)-4cos^(3)20^(@).

    Text Solution

    |

  14. If cos^(2)alpha+cos^(2)beta=2, the value of tan^(3)alpha+sin^(5)beta i...

    Text Solution

    |

  15. Find the value of tan^(n)1^(@)tan^(n)2^(@)tan^(n)3^(@)......tan^(n)8...

    Text Solution

    |

  16. Find the value of tan^(n)1^(@)tan^(n)2^(@)tan^(n)3^(@)......tan^(n)8...

    Text Solution

    |

  17. The product cos1^(@)cos2^(@)cos3^(@)cos4^(@)......cos100^(@). Is equal...

    Text Solution

    |

  18. Find the value of cos1^(@).cos2^(@).cos3^(@).cos90^(@)

    Text Solution

    |

  19. Find the value of sin1^(@).sin2^(@).sin3^(@)…sin180^(@).

    Text Solution

    |

  20. Find the value of sin^(2)1^(@)+sin^(2)2^(@)+sin^(2)3^(@)+ ----+sin^(...

    Text Solution

    |