Home
Class 10
MATHS
If theta is an acute angle and tan theta...

If `theta` is an acute angle and `tan theta + cot theta = 2` , find the value of `tan^(12)theta + cot^(12)theta`.

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Test Your Skills|41 Videos
  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Practice Thoroughly|19 Videos
  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions|24 Videos
  • COORDINATE GEOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions (True or false)|5 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise Test Your Skills|48 Videos

Similar Questions

Explore conceptually related problems

If tantheta+cottheta=2 , find the value of tan^(2)theta+cot^(2)theta .

If theta =45° , find the value of 2 cosec^(2)theta + 3 sec^(2)theta .

tan^(2) theta-sec^(2) theta=….

If sintheta=1/3 find the value of 2cot^(2)theta+2 .

If tan^(4)theta +tan^(2) theta = 1 , then the value of cos^(4)theta +cos^(2)theta is-

If 3 sin theta + 4 cos theta=5 , then find the value of 4 sin theta-3 cos theta .

If cot theta=(4)/(3) , then find the value of sin theta,cos theta and cos ectheta in first quadrant. If sin theta+cos ec theta=2 then find the value of sin^(8 )theta+cos ec^(8)theta .

Find the minimum value of sec^2 theta + cos^2 theta + 2

If sec theta=13/12 , find sin theta and cot theta .

If sec theta +tan theta =p, then what is the value of sec theta -tan theta ?

KUMAR PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Other Important Examples
  1. Evaluate each of the following : 3cos^(2)30^(@)+sec^(2)30^(@)+2cos0^...

    Text Solution

    |

  2. Show that 2(cos^(4)60^(@)+sin^(4)30^(@))-(tan^(2)60^(@)+cot^(2)45^(@...

    Text Solution

    |

  3. Find the value of x in the following equation sin 2x = sin 60° cos 30°...

    Text Solution

    |

  4. If theta is an acute angle and tan theta + cot theta = 2 , find the va...

    Text Solution

    |

  5. Given that sin (A+ B) = sin A cos B + cos A sin B , find the value o...

    Text Solution

    |

  6. Prove that : (cos80^(@))/(sin10^(@))+cos59^(@)cosec31^(@)=2

    Text Solution

    |

  7. Evaluate the following : (2tan53^(@))/(cot37^(@))-(cot80^(@))/(tan10...

    Text Solution

    |

  8. Express sin 72° + cot 72° in terms trigonometric ratios of angles betw...

    Text Solution

    |

  9. Evaluate: ((sin47^(@))/(cos43^(@)))^(2)+((cos43^(@))/(sin47^(@)))^(2)-...

    Text Solution

    |

  10. If sec 5A = cosec (A + 36°) , where 5A is an acute angle, find the va...

    Text Solution

    |

  11. Prove the following : (All angles are acute angles.) sqrt(sec^(2)the...

    Text Solution

    |

  12. Prove the following : (All angles are acute angles.) (1+tan^(2)theta...

    Text Solution

    |

  13. Prove the following : (All angles are acute angles.) (tantheta+sinth...

    Text Solution

    |

  14. Prove the following : (All angles are acute angles.) (sintheta+costh...

    Text Solution

    |

  15. Prove the following : (All angles are acute angles.) tantheta-cotthe...

    Text Solution

    |

  16. If sintheta + sin^(2)theta = 1 , prove that cos^(2)theta + cos^(4)thet...

    Text Solution

    |

  17. If cos theta + sin theta = p and sec theta + cosec theta = q , prove t...

    Text Solution

    |

  18. If costheta + sin theta = sqrt2 cos theta, prove that cos theta - sin ...

    Text Solution

    |

  19. Prove that 2 (sin^(6)theta +cos^(6) theta ) - 3(sin^(4)theta +cos^(4...

    Text Solution

    |

  20. If x sin^(3)theta + y cos^(3)theta = sintheta costheta and x sin theta...

    Text Solution

    |