Home
Class 14
MATHS
If theta is a positive acute angle and t...

If `theta` is a positive acute angle and `tan 2 theta .tan 3 theta = 1`, then the value of `(2 cos^2 frac (5 theta)(2)-1)` is
अगर `theta` धनात्मक न्यूनकोण हो तथा `tan 2 theta .tan 3 theta = 1` हो, तब `(2 cos^2 frac (5 theta)(2)-1)` है ?

A

0

B

`1/2`

C

`-1/2`

D

1

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • 2011 TIER-II PAPER(23)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos
  • 2013 TIER-II PAPER(20)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

Similar Questions

Explore conceptually related problems

If theta is a positive acute angle and tan 2theta tan 3 theta =1 , then the value of (2 cos^2""(5theta)/2-1) is

If tan 2 theta.tan 4 theta =1 , then the value of 3 theta is

If theta is a positive acute angle and 3(sec^(2)theta+tan^(2)theta)=5 , then the value of cos2theta is

If theta is an acute angle and tan^(2)theta+(1)/(tan^(2)theta)=2 , then the value of theta is :

If theta is an acute angle and tan theta + cot theta=2 , then the value of tan^(5)theta + cot^(10) theta is:

If theta an acute angle and tan theta+cot theta=2 Find the value of cot^(5)theta+tan^(5)theta

If theta is a positive acute angle and tan2 theta.tan3 theta=1 , then the value of theta is: यदि tan2 theta.tan3 theta=1 , तो theta का मान ज्ञात करें जो की एक सकारात्मक न्यून कोण है

If theta be a positive acute angle satisfying cos^(2)theta+cos^(4)theta=1 , then the value of tan^(2)theta+tan^(4)theta is

If tan(theta + 3theta) tan (2theta + 3theta)=1 , then the value of sin(5theta - 2theta) is:

If theta is an acute angle and sin theta=cos theta, find the value of 2tan^(2)theta+sin^(2)theta-1

CHAMPION PUBLICATION-2012 TIER-II PAPER(22)-EXERCISE
  1. If x= sqrt((sqrt5+1)/(sqrt5-1)), then x^(2)-x -1 is equal to

    Text Solution

    |

  2. Two posts are x meters apart and the height of one is double that of t...

    Text Solution

    |

  3. If theta is a positive acute angle and tan 2 theta .tan 3 theta = 1, t...

    Text Solution

    |

  4. If sin 17^@ = x/y,then the value of sec 17^@ - sin 73^@ is

    Text Solution

    |

  5. In a right -angled triangle XYZ right angled at Y . If XY=2sqrt(6)a...

    Text Solution

    |

  6. If 0^@ lt theta lt 90^@, then the value of sin theta + cos theta is

    Text Solution

    |

  7. An aeroplane when flying at a height of 5000 m from the ground ...

    Text Solution

    |

  8. The angles of a triangle are in Arithmetic Progression. The ratio of t...

    Text Solution

    |

  9. Suppose DeltaABC be a right-angled triangle where angleA= 90^@ and AD ...

    Text Solution

    |

  10. Two circles touch each other externally at P. AB is a direct common ta...

    Text Solution

    |

  11. The length of the common chord of two intersecting circles is 24 cm. I...

    Text Solution

    |

  12. In DeltaABC, D and E are points on AB and AC respectively such that DE...

    Text Solution

    |

  13. The area of the square inscribed in a circle of radius 8 cm is

    Text Solution

    |

  14. X and Y are centres of circles of a radii 9 cm and 2 cm respectively, ...

    Text Solution

    |

  15. I is the incentre of a triangle ABC. If /ABC = 65^@ and /ACB = 55^@, t...

    Text Solution

    |

  16. If the radii of two circles be 6 cm and 3 cm and the length of the tra...

    Text Solution

    |

  17. The ratio between the number of sides of two regular Polygons is 1:2 a...

    Text Solution

    |

  18. Find minimum value of sin^(2)theta+cosec^(2)theta+cos^(2)theta+sec^(...

    Text Solution

    |

  19. If 2sin((pi)/(2))=x^(2)+(1)/(x^(2)), then the value of (x-(1)/(x)) i...

    Text Solution

    |

  20. The expression (tan 57^@ + cot37^@)/(tan 33^@ + cot 53^@) is equal to

    Text Solution

    |