Home
Class 10
MATHS
Prove that: (1)/(sec A - tan A) - (1)/...

Prove that:
`(1)/(sec A - tan A) - (1)/(cos A) = (1)/(cos A) - (1)/(sec A + tan A)`

Answer

Step by step text solution for Prove that: (1)/(sec A - tan A) - (1)/(cos A) = (1)/(cos A) - (1)/(sec A + tan A) by MATHS experts to help you in doubts & scoring excellent marks in Class 10 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • AN INTRODUCTION TO TRIGONOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( LONG - ANSWER (LA) TYPE - QUESTIONS)|12 Videos
  • AN INTRODUCTION TO TRIGONOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( HOTS (HIGHER ORDER THINKING SKILLS) - QUESTIONS)|5 Videos
  • AN INTRODUCTION TO TRIGONOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( SHORT ANSWER (SA) TYPE - 1 - QUESTIONS)|12 Videos
  • AREA RELATED TO CIRCLES

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (HIGHER ORDER THINKING SKILLS)|7 Videos

Similar Questions

Explore conceptually related problems

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

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

Knowledge Check

  • ( sec A + tan A ) ( 1 - sin A ) = ?

    A
    ` sec A `
    B
    ` sin A `
    C
    ` cosec A `
    D
    ` cos A `
  • tan ((1)/(2) cos ^(-1) 0)=

    A
    `0`
    B
    -1
    C
    1
    D
    `(1)/(2)`
  • sec (2 tan ^(-1) (3)/(2))=

    A
    `(13)/(5)`
    B
    `(5)/(13)`
    C
    `-(13)/(5)`
    D
    `-(5)/(13)`
  • Similar Questions

    Explore conceptually related problems

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

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

    ( cosec A - sin A ) (sec A - cos A ) = ( 1 ) /( tan A + cot A )

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

    Prove that (sec theta + tan theta)^(2) = (cosec theta +1)/(cosec theta -1) .