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Which of the following is not possible?...

Which of the following is not possible?

A

`sintheta=5/3`

B

`tantheta=1002`

C

`costheta=(1+p^2)/(1-p^2),(pne0,pm1)`

D

`sectheta=1/2`

Text Solution

Verified by Experts

(b) `sintheta=5/3" is not possible as "-1lesinthetale1`.
`costheta=(1+p^2)/(1-p^2)" is not possible, as in "(1+p^2)/(1-p^2)" the numerator is always greater than the denominator for any value of p other than p = 0. Hence, " (1+p^2)/(1-p^2) " does not lie in "[-1, 1]`.
`sectheta=1/2` is not possible as `sectheta in(-oo,-1]uu[1,oo).tantheta=1002` is possible as `tantheta`can take any real value.
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