Home
Class 10
MATHS
Prove: (tanA)/((1+tan^2A)^2)+(cotA)/((1+...

Prove: `(tanA)/((1+tan^2A)^2)+(cotA)/((1+cot^2A)^2)=sinAcosA`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    TARGET PUBLICATION|Exercise Practice Set 6.2|6 Videos

  • TRIGONOMETRY

    TARGET PUBLICATION|Exercise Problem set - 6|22 Videos

  • STATISTICS

    TARGET PUBLICATION|Exercise Problem Set-6|5 Videos

Similar Questions

Explore conceptually related problems

prove that (tan A) / ( 1+tan^2A)^2 +(cotA)/(1+cot^2A)^2 =sinA cosA.

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

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

(sec 8 A-1)/( sec 4A-1)= ..................... A) (tan 2A)/( tan 8A) B) (tan 8A)/(tan 2A) C) (cot 8A)/(cot 2A) D) (tan 6A)/(tan 2A)

Prove: (secA+tanA-1)(secA-tanA+1)=2tanA

Prove that (frac(tan^3 x)(1+tan^2 x))+(frac(cot^3 x)(1+cot^2 x))=secxcosecx-2sinxcosx

(1 - cot^(2)45^(@))/(1 + cot^(2)45^(@)) =

Prove: sec^4A(1-sin^4A)-2tan^2A=1

Prove the following: (frac(cot6A-tan2A)(cot6A+tan2A))=(cos8A)/(cos4A)

Prove that (tan A)/(sec A -1) + (tan A)/(sec A +1) = 2 cosec A

TARGET PUBLICATION-TRIGONOMETRY -Chapter Assessment
  1. Prove: (tanA)/((1+tan^2A)^2)+(cotA)/((1+cot^2A)^2)=sinAcosA

    Text Solution

    |

  2. cot 60^(@) =

    Text Solution

    |

  3. tantheta . Cot theta =

    Text Solution

    |

  4. When we see at a lower level , from the horizontal line , angle formed...

    Text Solution

    |

  5. If the distance of a point from the tower is equal to the height of th...

    Text Solution

    |

  6. If cosec theta = (13)/(12) , then find the values of cot theta and sin...

    Text Solution

    |

  7. Prove the identity sin^(2)theta + cos^(2) theta = 1 with the help of g...

    Text Solution

    |

  8. A person standing at a distance of 90 m from a church observes the ang...

    Text Solution

    |

  9. (tantheta + sintheta)/(tantheta - sintheta) =(sectheta + 1 )/ (secthe...

    Text Solution

    |

  10. If cos theta + (1)/(cos theta) = 4 , then prove that cos^(2) theta + ...

    Text Solution

    |

  11. Prove that : sec^(6)x - tan^(6)x = 1 + 3sec^(2)x xx tan^(2)x

    Text Solution

    |

  12. A tree breaks due to storm and the broken part bends, so that the top...

    Text Solution

    |

  13. Two buildings are in front of each other on a road of width 15 metres....

    Text Solution

    |

  14. If tan theta = 1 then find the vlue of (sin theta + cos theta)/(sec th...

    Text Solution

    |

  15. A straight highway leads to the foot of a tower. A man standing at t...

    Text Solution

    |

  16. If sec theta+tan theta =p then prove that (p^2-1)/(p^2+1)=sin theta

    Text Solution

    |

  17. If 3 tan^(2)theta - 4sqrt(3)tan theta + 3 = 0, find the acute angle th...

    Text Solution

    |

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

    Text Solution

    |