Home
Class 14
MATHS
2(cos^2theta-sin^2theta)=1 ( theta is a...

`2(cos^2theta-sin^2theta)=1` ( `theta ` is a positive acute angle), then ` cot theta` is equal to

A

`1/sqrt3`

B

1

C

`sqrt3`

D

`-sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    ARIHANT SSC|Exercise Higher Skill Level Questions|34 Videos

  • TRIGONOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 11.1|5 Videos

  • TRIGONOMETRY

    ARIHANT SSC|Exercise EXERCISE(LEVEL - 1)|35 Videos

  • TIME, SPEED AND DISTANCE

    ARIHANT SSC|Exercise SPEED TEST (TSD)|10 Videos

  • TRUE DISCOUNT AND BANKER'S DISCOUNT

    ARIHANT SSC|Exercise FAST TRACK PRACTICE|23 Videos

Similar Questions

Explore conceptually related problems

2(cos^(2)theta-sin^(2)theta)=1(theta is a positive acute angle),then cot theta is equal to

If 2(cos^(2)theta-sin^(2)theta)=1,theta is a positive acute angle , then the value of theta is

If 7 sin^2 theta +3 cos^2 theta = 4, and theta is a positive acute angle, then tan theta is equal to

If sin2 theta=cos3 theta and theta is an acute angle then sin theta is equal to

If sin2 theta=cos3 theta and theta is an acute angle,then sin(theta) is equal to

If theta is a positive acute angle and tan theta + cot theta = 2 , then the value of sec theta is

If sec theta-cos theta = 3/2 where theta is a positive acute angle. then the value of sec theta is:

If sin theta = 1/2 and theta is acute then (3 cos theta -4 cos^(3) theta) is equal to

If sin^(4)theta+cos^(4)theta=2sin^(2)thetacos^(2)theta,theta is an acute angle , then the value of tantheta is

ARIHANT SSC-TRIGONOMETRY-Exercise Base Level Questions
  1. Consider the following I.(cot 30^@+1)/(cot30^@ -1) = 2 (cos300^@ +1...

    Text Solution

    |

  2. What is sin A cos A tan A + cos A cot A equal to ?

    Text Solution

    |

  3. 2(cos^2theta-sin^2theta)=1 ( theta is a positive acute angle), then ...

    Text Solution

    |

  4. The minimum value of cos^2 theta+ sec^2 theta is

    Text Solution

    |

  5. If cos x + cos y =2, then the value of sinx + sin y is

    Text Solution

    |

  6. if sec^(2)theta+tan^(@)theta=(7)/(12), then sec^(4)theta-tan^(4)theta=

    Text Solution

    |

  7. The numerical value of ((1)/(costheta)+(1)/(cot theta))((1)/(costhet...

    Text Solution

    |

  8. यदि A=tan11^(@)tan29^(@),B=2cot61^(@)cot79^(@) है तो

    Text Solution

    |

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

    Text Solution

    |

  10. If sin theta + cosec theta =2,then the value of sin^5theta cosec^5 the...

    Text Solution

    |

  11. If A=sin^(2) theta + cos^(4) theta , then for all values of theta ,...

    Text Solution

    |

  12. The minimum value of 2 sin^2 theta + 3cos^2 theta is

    Text Solution

    |

  13. The value of cot10^@ cot20^@ cot60^@ cot 70^@ cot 80^@ is

    Text Solution

    |

  14. If cos theta cosec 23^@ = 1, then the value of theta is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If sin theta + cosec theta =2,then the value of sin^100 theta + cosec^...

    Text Solution

    |

  18. If [sintheta+costheta]/[sintheta-costheta]=3,then find the value of si...

    Text Solution

    |

  19. If theta be acute and tan theta + cot theta = 2, then the value of tan...

    Text Solution

    |

  20. If 0^@ lt theta lt 90^@, then all the trigonometric ratios can be obt...

    Text Solution

    |