Home
Class 10
MATHS
Prove that (1+tan theta )^2 + (1+cot t...

Prove that
`(1+tan theta )^2 + (1+cot theta)^2 = (sec theta + cosec theta)^2`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    UNIQUE PUBLICATION|Exercise ASSIGNMENT|12 Videos
  • TRIGONOMETRY

    UNIQUE PUBLICATION|Exercise HOTS SOLVED|9 Videos
  • STATISTICS

    UNIQUE PUBLICATION|Exercise PROBLEM SET|6 Videos

Similar Questions

Explore conceptually related problems

Prove that: sin theta(1+ tan theta) + cos theta (1+ cot theta) = sec theta + "cosec" theta

prove that: (tan theta-cot theta)^(2)+2=sec^(2) theta+ cosec^(2) theta-2

Prove that (sin theta + cos theta )( cosec theta - sec theta ) = cosec theta. Sec theta -2 tan theta

" (2.) "tan theta+cot theta=sec theta cosec theta

Prove that (i) (1- sin theta)/(1+ sin theta)=(sec theta - tan theta )^(2) (ii) ((1+cos theta))/((1- cos theta))= ("cosec" theta + cot theta)^(2)

Prove that (i) (sin theta)/((1- cos theta))=("cosec" theta + cot theta) (ii) (1)/((sec theta - tan theta))=(sec theta + tan theta)

sin 2 theta * (tan theta + cot theta)= A) sec theta B) csc theta C)1D)2

Prove each of the following identities : (tan theta)/((1-cot theta)) + (cot theta)/((1- tan theta)) = (1+ sec theta "cosec" theta)

UNIQUE PUBLICATION-TRIGONOMETRY-UNIQUE PRACTICE SESSION
  1. If cosec theta - cot theta = alpha, write the value of cosec theta + c...

    Text Solution

    |

  2. If tan theta=1, then (sin theta+cos theta)/(sec theta+cosec theta)=

    Text Solution

    |

  3. त्रिकोणमितीय सर्वसमिकाओं को सिद्ध करो : (1)/(cosec A- cot A )-(1)/(s...

    Text Solution

    |

  4. Prove that sqrt((1+sintheta)/(1-sintheta))=sectheta+tantheta

    Text Solution

    |

  5. The length of the shadow of a tower standing on level plane is foun...

    Text Solution

    |

  6. A circus artist is climbing from the ground along a rope stretched ...

    Text Solution

    |

  7. An observer at a distance of 10 m from a tree looks at the top of the ...

    Text Solution

    |

  8. From the top of a building , an observer is looking at a scooter parke...

    Text Solution

    |

  9. The angle of elevation of a jet plane from a point A on the grund is 6...

    Text Solution

    |

  10. Prove that : (tan theta)/(sec theta -1) + (tan theta)/(sec theta + 1...

    Text Solution

    |

  11. Prove that (1+tan theta )^2 + (1+cot theta)^2 = (sec theta + cosec t...

    Text Solution

    |

  12. Prove that (1 + 1/(tan^2A)) (1 + 1/(cot^2A)) = 1/(sin^2 A - sin^4 A )

    Text Solution

    |

  13. Prove that: (sectheta-1)/(sectheta+1)=((sintheta)/(1+costheta))^2

    Text Solution

    |

  14. Two buildings are in front of each other on either side of a road of w...

    Text Solution

    |

  15. If 5 sin theta - 12 cos theta = 0 , find the values of sec theta and c...

    Text Solution

    |

  16. To find the width the river, a man observes the top of a tower on the ...

    Text Solution

    |

  17. Eliminate theta if x=a cot theta -b cosec theta and y=acot theta+b cos...

    Text Solution

    |

  18. If cos theta=(sqrt(3))/2 then find the value of (1-sec theta)/(1+cosec...

    Text Solution

    |

  19. Roshani saw an eagle on the to of a tree at an angle of elevation of 6...

    Text Solution

    |

  20. A tree breaks due to storm and the broken part bends so that the to...

    Text Solution

    |