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

`sqrt(2)`

B

`1/sqrt(2)`

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELEMENTARY TRIGONOMETRIC IDENTITIES

    LUCENT PUBLICATION|Exercise EXERCISE 11A|76 Videos
  • CONGRUENCE AND SIMILAR TRIANGLES

    LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos
  • GRAPHICAL SOLUTION OF LINEAR EQUATION

    LUCENT PUBLICATION|Exercise EXERCISE-3B|8 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

LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11B
  1. If costheta+sectheta=sqrt(3) , then the value of (cos^(3)theta+sec...

    Text Solution

    |

  2. If 2ycos theta =x sin theta and 2x sectheta -y "cosec"theta =3, then t...

    Text Solution

    |

  3. If sectheta + tan theta = sqrt(3), then the positive value of sin thet...

    Text Solution

    |

  4. If (cos^(4)alpha)/(cos^(2)beta)+(sin^(4)alpha)/(sin^(2)beta)=1 then (c...

    Text Solution

    |

  5. (Sin theta -Cos theta +1)/(Sin theta+Cos theta -1)= ?

    Text Solution

    |

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

    Text Solution

    |

  7. Find minimum value of 4sec^(2)theta+9cos^(2)theta.

    Text Solution

    |

  8. If tan(x+y) tan(x-y)=1, then the value of tan((2x)/3)is:

    Text Solution

    |

  9. If x ="cosec"theta - sin theta and y=sectheta - costheta, then the val...

    Text Solution

    |

  10. If sin theta +sin^2 theta=1, then the value of cos^12 theta +3cos^10 t...

    Text Solution

    |

  11. If tan(x+ y)tan(x-y)=1, then the value of tan x is:

    Text Solution

    |

  12. If cotA + "cosec"A=3 and A is an acute angle then the value of cosA i...

    Text Solution

    |

  13. The simplified value of 1- (sin^(2)A)/(1+ cosA) + (1+ cosA)/(sinA) - (...

    Text Solution

    |

  14. If alpha is an acute angle and 2sinalpha+15cos^(2)alpha=7 then ...

    Text Solution

    |

  15. If tantheta - cot theta =a and cos theta - sin theta =b, then value of...

    Text Solution

    |

  16. If (a^2-b^2)sin theta+2abcos theta= a^2+b^2, then tan theta= यदि (a...

    Text Solution

    |

  17. sin^(2)21^(@) + sin^(2) 69^(@) is equal to

    Text Solution

    |

  18. sin^(2)5^(@) + sin^(2)25^(@) + sin^(2)45^(@) + sin^(2) 65^(@) + sin^(2...

    Text Solution

    |

  19. For all real values of alpha, x = cos^(4) alpha + sin^(2)alpha, then r...

    Text Solution

    |

  20. If sin^(2)alpha=cos^(2)alpha , then the value of (cot^(6)alpha-cot^(2)...

    Text Solution

    |