Home
Class 11
MATHS
Prove that 1+cot^(2) theta = cosec^(2) t...

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

Text Solution

Verified by Experts

The correct Answer is:
`rArr cosec theta - cot theta = (1)/(cosec theta + cot theta)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|2 Videos
  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise EXERCISE - 1.1 (VERY SHORT ANSWER QUESTIONS)|29 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos
  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos

Similar Questions

Explore conceptually related problems

The number of solutions of sec^(2) theta + cosec^(2) theta + 2 cosec^(2) theta = 8, 0 le theta le pi//2 is

"cosec"^(2) theta * cot^(2) theta -sec^(2) theta * tan^(2) theta - (cot^(2) theta - tan^(2) theta ) (sec^(2) theta * "cosec"^(2) theta -1)=

If cot theta = sqrt(7) and theta does not lie the first quadrant , then ( " cosec"^(2) theta - sec^(2) theta )/( "cosec"^(2) theta + sec^(2) theta )=

If tan theta =(1)/(sqrt(7)) and theta is an acute angle , then ("cosec"^(2) theta - sec^(2) theta )/( "cosec"^(2) theta + sec^(2) theta =

sec^2 theta + cosec^2 theta =…………

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

Prove that (1+cot theta -"cosec" theta ) (1+ tan theta + sec theta )=2 .

show that 1 + (cot^2 theta/ (1 + cosec theta)) = cosec theta

2 sec^(2) theta - sec^(4) theta - 2 "cosec"^(2) theta + " cosec"^(4) theta =

Prove that (cot theta -cos theta )/( cot theta +cos theta ) =(cos ec theta -1)/( cosec theta +1)

AAKASH SERIES-TRIGONOMERTIC RATIOS-PRACTICE EXERCISE
  1. Prove that 1+cot^(2) theta = cosec^(2) theta

    Text Solution

    |

  2. Sec ((15pi)/4) =

    Text Solution

    |

  3. cos ((5pi)/(4)) - sin ((5pi)/(4)) + tan((11pi)/(4)) - cot((11pi)/(4))=

    Text Solution

    |

  4. The cotangents of the angles pi//3, pi//4, pi//6 are in

    Text Solution

    |

  5. ( sqrt(1-cos^(2)200^(@)))cosec 200^(@)=

    Text Solution

    |

  6. If x= cos 10^(@) - sin 10^(@) then

    Text Solution

    |

  7. Which of the following is not possible ?

    Text Solution

    |

  8. The equation sin x= k + 1/k ( k gt 0) is

    Text Solution

    |

  9. Which one of the following is true ?

    Text Solution

    |

  10. I: If x= sin 1 , y= sin1^(@) then x lt y II : If x = cos 1 , y ...

    Text Solution

    |

  11. If A=tan 1, B = tan. 9/5 then

    Text Solution

    |

  12. A= sin 1, B = cos 1, C = tan 1 then the ascending order is

    Text Solution

    |

  13. If Sin theta(1) + Sin theta(2) + Sin theta(3) = 3 then Cos theta(1) + ...

    Text Solution

    |

  14. If Cos theta(1) + Cos theta(2) + Cos theta(3) = 3 then Sin theta(1) +...

    Text Solution

    |

  15. If cos theta + sec theta = 2 then cos^(n) theta + sec^(n) theta =

    Text Solution

    |

  16. If cot theta + tan theta = 2 then cot^(n) theta + tan^(n) theta =

    Text Solution

    |

  17. If cot ( alpha + beta) = 0 then sin ( alpha + 2 beta) =

    Text Solution

    |

  18. If tan ( alpha + beta) = sqrt(3), tan ( alpha - beta ) =1 then tan 6 ...

    Text Solution

    |

  19. If n is even then sin theta + sin ( pi + theta ) + sin (2 pi + theta) ...

    Text Solution

    |

  20. sin 10^(@) + sin 20^(@) + sin30^(@) + .......sin 360^(@)=

    Text Solution

    |

  21. cos 20^(@) + cos 40^(@) + cos 60^(@) +...+cos160^(@)+cos 180^(@)=

    Text Solution

    |