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If sectheta=sqrt2 and (3pi)/2ltthetalt2p...

If `sectheta=sqrt2` and `(3pi)/2ltthetalt2pi`. Then the value of `(1+tantheta+cosectheta)/(1+cottheta-cosectheta)` is

A

(-1)

B

`(+-1/sqrt2)`

C

`(-sqrt2)`

D

1

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • . (tantheta +sectheta-1)/(tantheta -sectheta+1) =

    A
    `(1-sintheta)/costheta`
    B
    `(1-costheta)/sintheta`
    C
    `(1+sintheta)/costheta`
    D
    `(1+costheta)/sintheta
  • If sintheta+cosectheta=2 then sin^ntheta+cosec^ntheta=

    A
    2
    B
    1
    C
    3
    D
    none of these
  • If thetane(2n+1)pi/2. ninI , then the least value of (sintheta+cosectheta)^2 + (costheta+sectheta)^2 is

    A
    2
    B
    4
    C
    8
    D
    9
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