Home
Class 11
MATHS
Prove that: (tanA+ sec A-1)/(tan A-sec...

Prove that:
`(tanA+ sec A-1)/(tan A-secA+1)=(cosA)/(1-sinA)`

Text Solution

AI Generated Solution

To prove the identity \[ \frac{\tan A + \sec A - 1}{\tan A - \sec A + 1} = \frac{\cos A}{1 - \sin A}, \] we will start with the left-hand side (LHS) and simplify it step by step. ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3A|11 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3B|22 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos

Similar Questions

Explore conceptually related problems

Prove that (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA) .

(tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA)

Knowledge Check

  • (tanA+secA-1)/(tanA-secA+1)=?

    A
    `(1+cosA)/(sinA)`
    B
    `(1+sinA)/(cosA)`
    C
    `(1-cosA)/(1+cosA)`
    D
    `(1+sinA)/(1-sinA)`

  • (tanA-secA+1)/(tanA+secA-1)=?

    A
    `(1+sinA)/(cosA)`
    B
    `(1-sinA)/(cosA)`
    C
    `(1+cosA)/(sinA)`
    D
    `(1-cosA)/(sinA)`

    • Similar Questions

    Explore conceptually related problems

    Prove the following: (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA)=(cosA)/(1-sinA)

    Prove that : (tanA+sinA)/(tanA-sinA)=(secA+1)/(secA-1)

    Prove that : (secA+1)/(tanA)=(tanA)/(secA-1)

    Prove that: tanA(1+sec2A)=tan2A

    Prove that: " "( tan A + sinA)/(tanA - sinA) = (sec A +1)/(secA -1)

    Prove that : (cosA)/(1+tan A )-(sinA)/(1+cotA)= cosA - sin A

    Home
    Profile