Home
Class 10
MATHS
Are these identities true only for 0^(@)...

Are these identities true only for `0^(@) le A le 90 ^(@) ? ` If not ,for which other values of A they are true ?
`sec^(2) A-tan ^(2) A =1 " " cosec ^(2) A - cot ^(2) A=1`

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

Are these identities true for 0^(@) le A le 90^(@) ? If not, for which values of A they are true ? cosec^(2)A - cot^(2)A = 1

Are these identities true for 0^(@) le A le 90^(@) ? If not, for which values of A they are true ? sec^(2)A - tan^(2)A = 1

Prove that (sin A +cosec A) ^(2) +(cos A +sec A) ^(2) =7+ tan ^(2) A +cot ^(2) A

If sec x + sec^(2) x = 1 then the value of tan^(8) x - tan^(4) x - 2 tan^(2) x +1 will be equal to 0

sec h^(2) [tan h^(-1) ((1)/(2))] + "cosec h"^(2) (cot h^(-1) (3)) =

Find the values for tan 90^(@) ,cosec 90 ^(@) , sec 90 ^(@) and cot 90 ^(@)

( tan alpha + " cosec " beta )^(2) - ( cot beta - sec alpha )^(2) =

VGS PUBLICATION-BRILLIANT-TRIGONOMETRY-EXERCISE
  1. For which value of an acute angle theta ,(i) ( cos theta )/( 1-sin th...

    Text Solution

    |

  2. Are these identities true only for 0^(@) le A le 90 ^(@) ? If not ,fo...

    Text Solution

    |

  3. Are these identities true only for 0^(@) le A le 90 ^(@) ? If not ,fo...

    Text Solution

    |

  4. If sin C =( 15)/(17) , then find cos C ,

    Text Solution

    |

  5. If tan x = ( 5)/( 12), then find sec x.

    Text Solution

    |

  6. If cosec theta =(25)/( 7), then find cot theta

    Text Solution

    |

  7. Evaluate the following and justify your answer. (i) (sin ^(2) 15^(...

    Text Solution

    |

  8. Find sin 5^(@) cos 85^(@) +cos 5^(@) sin 85^(@)

    Text Solution

    |

  9. Find sec 16^(@) cosec 74^(@) -cot 74^(@) tan 16^(@)

    Text Solution

    |

  10. Show that cot theta +tan theta =sec theta cosec theta

    Text Solution

    |

  11. Show that tan ^(2) theta +tan ^(4) theta =sec ^(4) theta -sec ^(2) th...

    Text Solution

    |

  12. Prove that sqrt( (1+costheta)/(1-costheta) )= cosectheta+cottheta.(0^@...

    Text Solution

    |

  13. Evaluate the following (1+tan theta +sec theta ) ( 1+cot theta -cos...

    Text Solution

    |

  14. (sin theta + cos theta)^(2) + (sin theta - cos theta)^(2)=

    Text Solution

    |

  15. (sec^(2) theta -1)(cosec^(2) theta-1)=

    Text Solution

    |

  16. Show that (cosec theta -cot theta )^(2) =(1-cos theta )/( 1+cos theta ...

    Text Solution

    |

  17. sqrt (( 1 + sin A ) /( 1 - sin A )) = sec A + tan A చూపండి.

    Text Solution

    |

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

    Text Solution

    |

  19. Show that 1/cos O/-cos O/ = tan O/ cdot sinO/(0^o < O/ <90^o)

    Text Solution

    |

  20. Simplify sec A (1-sin A ) (secA+tan A)

    Text Solution

    |