Home
Class 11
MATHS
If pi/2 < theta < (3pi)/2 then sqrt ((1-...

If `pi/2 < theta < (3pi)/2` then `sqrt ((1-sin theta)/(1+sin theta))=`
`a. sec theta-tan theta, b. sec theta + tan theta, c. tan theta-sec theta, d.` none of these

Text Solution

Verified by Experts

We have,
`sqrt((1-sin theta)/(1+sin theta))=sqrt((1-sin theta)^2/(1-sin^2theta)`
`sqrt((1-sin theta)/(1+sin theta))=(1-sin theta)/(|cos theta|`
`sqrt((1-sin theta)/(1+sin theta))=(1-sin theta)/(-cos theta`
...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|120 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA|Exercise Solved Examples And Exercises|149 Videos

Similar Questions

Explore conceptually related problems

If cot theta-tan theta=sec theta then theta=

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

Knowledge Check

  • If cot theta - tan theta = sec theta, then theta =

    A
    `n pi + pi/2`
    B
    `2 n pi + (3pi)/2`
    C
    `n pi + (-1)^n pi /6`
    D
    `n pi`

  • If cot theta - tan theta = sec theta , then theta=

    A
    `npi + (-1)^(n) .(pi//6)`
    B
    `npi + (pi//2)`
    C
    `2npi +(3pi//2)`
    D
    none of these

  • If p sec theta - b tan theta =a and q sec theta -a tan theta =b , then

    A
    `a^(2) + b^(2) = p^(2) + q^(2)`
    B
    `a^(2) + p^(2) = b^(2) + q^(2)`
    C
    `a^(2) + q^(2) = b^(2) +p^(2)`
    D
    none

    • Similar Questions

    Explore conceptually related problems

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

    If sec theta+tan theta=2 , then sec theta-tan theta = ?

    If sec theta+tan theta=x then sec theta=

    If sec theta + tan theta = 4 , then sec theta- tan theta =?

    If sec theta + tan theta = 12.5 , then sec theta - tan theta = ?

    Home
    Profile