Home
Class 10
MATHS
Prove that (sin theta -cos theta+1 )/( s...

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 ]`

Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND SECANTS TO A CIRCLE

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|201 Videos

  • TRIGONOMETRY (MULTIPLE CHOICE QUESTION)

    VGS PUBLICATION-BRILLIANT|Exercise TRIGONOMETRY (MULTIPLE CHOICE QUESTION)|25 Videos

Similar Questions

Explore conceptually related problems

Prove that (sin theta - cos theta + 1)/(sin theta + cos theta - 1) = (1)/(sec theta - tan theta) using the identity sec^(2) theta = 1 + tan^(2) theta .

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

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

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

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

Show that (1 + sin theta)/ cos theta + cos theta / (1 + sin theta) = 2 sec theta

Show that (1)/(cos theta) - cos theta = tan theta. sin theta

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

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

Show that (1)/( cos theta ) -cos theta =tan theta .sin theta

VGS PUBLICATION-BRILLIANT-TRIGONOMETRY-EXERCISE
  1. If cosec theta + cot theta =k , then prove that cos theta =(k^(2)-1)/(...

    Text Solution

    |

  2. Prove that (cot theta -cos theta )/( cot theta +cos theta ) =(cos ec t...

    Text Solution

    |

  3. Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)...

    Text Solution

    |

  4. Prove that (cosec A - sin A ) (sec A -cos A) = ( 1)/( tan A +cot A)

    Text Solution

    |

  5. Prove that ( 1+ sec A)/( sec A) =(sin ^(2) A)/( 1-cos A)

    Text Solution

    |

  6. Show that ((1+tan ^(2) A) /(1+cot ^(2) A ) ) =((1+ tan )/( 1-cot A ))^...

    Text Solution

    |

  7. Prove that ((sec A -1))/( (sec A+1) ) =((1-cos A)/((1+cos A )))

    Text Solution

    |

  8. tan^(2) theta - 1 / cos^(2) theta =-1 అని చూపండి.

    Text Solution

    |

  9. Explain the meaning of cos A.

    Text Solution

    |

  10. If tan O/ = sqrt3 ( O/ is acute angle) then find the value of 1+cos...

    Text Solution

    |

  11. Evaluate (sin 58^o / cos 32^o) + (tan 42^o/ cot 48^o)

    Text Solution

    |

  12. sin A = 1 / sqrt 2 tan B =1 sin (A + B) =

    Text Solution

    |

  13. Express cos O/ in terms of tan O/ .

    Text Solution

    |

  14. If cos O/ = 1/(sqrt2) , then find the value of 4 + cot O/ .

    Text Solution

    |

  15. Is it correct to say that sin O/ = cos (90 - O/)? why?

    Text Solution

    |

  16. Find the value of tan 2A if cos 3A = sin 45^o .

    Text Solution

    |

  17. In a right triangle ABC, right angled at C in which AB = 13cm, BC = 5c...

    Text Solution

    |

  18. cosec 39^(0), sec 51^(0) - tan 51^(0). Cot 39^(0) విలువను గుణించండి.

    Text Solution

    |

  19. Ravi says “the value of tan 0^o tan 1^o tan 2^o……. tan 89^o is zero’...

    Text Solution

    |

  20. Prove that 4tan^2 45^o - cosec ^2 30^o + cos^2 30^o = 3/4

    Text Solution

    |