Home
Class 11
MATHS
Prove that (1+cot theta -"cosec" theta )...

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

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|11 Videos

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise EXERCISE - I|35 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

(cot theta + " cosec " theta -1)/(cot theta - " cosec " theta +1) =

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

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

( tan theta)/( sec theta -1)-(tan theta )/( sec theta + 1)=

Prove that (1 + sec theta) / sec theta = sin^2 theta /(1 - cos theta)

("cosec " theta - sin theta ) ( sec theta - cos theta ) ( tan theta + cot theta ) =

( sec theta + tan theta -1)/( tan theta - sec theta +1)

( sin theta + " cosec " theta )^(2) + ( cos theta + sec theta )^(2)=

( sec theta + tan theta )/("cosec " theta + cot theta ) -(sec theta - tan theta )/( " cosec" theta - cot theta )=

Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

AAKASH SERIES-TRIGONOMERTIC RATIOS-EXERCISE - 1.1 ( SHORT ANSWER QUESTIONS)
  1. Prove that (cos (pi-theta).cot(pi/2 +theta).cos(-theta))/(tan(pi+th...

    Text Solution

    |

  2. Prove that (sin(3pi-theta)cos(theta- pi/2)tan((3pi)/(2)-theta))/(co...

    Text Solution

    |

  3. Prove that (sin150^(@)-5cos300^(@)+7tan 225^(@))/(tan 135^(@) + 3 s...

    Text Solution

    |

  4. Prove that (sin(-(11pi)/(3))tan((35pi)/(6))sec(-(7pi)/(3)))/(cos((5p...

    Text Solution

    |

  5. (i) If tan 20^(@) = lambda then show that (tan 610^(@) + tan 700^(@)...

    Text Solution

    |

  6. If tan20^(@) = lambda then show that (tan 160^(@) -tan 110^(@))/(1+tan...

    Text Solution

    |

  7. If "sec" theta + tan theta = 2//3, then find the value of sin theta an...

    Text Solution

    |

  8. If cosec theta + cot theta =1//3, then find cos theta and determine th...

    Text Solution

    |

  9. If "sec" theta + tan theta = 5 then find sin theta and determine the q...

    Text Solution

    |

  10. If (2 sin theta )/(1+ cos theta + sin theta )=x, find the value of (1...

    Text Solution

    |

  11. ((1+ sin theta - cos theta )/( 1+ sin theta + cos theta ))^(2)=

    Text Solution

    |

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

    Text Solution

    |

  13. Show that (tan theta+sec theta -1)/(tan theta - sec theta +1)=(1 + sin...

    Text Solution

    |

  14. 3(sin x + cos x )^(4) + 6(sin x - cos x )^(2) + 4(sin^(6) x + cos^(6) ...

    Text Solution

    |

  15. Show that cos ^(4) alpha + 2 cos ^(2) alpha (1-(1)/(sec ^(2) alpha ))=...

    Text Solution

    |

  16. If (sin alpha + "cosec" alpha )^(2) + ( cos alpha + sec alpha )^(2)=k+...

    Text Solution

    |

  17. If cos theta + sin theta = sqrt(2) cos theta then S.T cos theta - sin ...

    Text Solution

    |

  18. Eliminate 'theta' from x=a cos^(4) theta y = b sin^(4) theta

    Text Solution

    |

  19. (ii) Eliminate 'theta' from the equations x= tan theta + cot theta, ...

    Text Solution

    |