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Which of following is correct (where n i...

Which of following is correct (where `n in N`) ? `(i) sin theta = (n+1)/n` `(ii) sin theta = (n^2 + 1)/(n+1)` `(iii) sec theta = (n+2)/(n-1)` `(iv) sec theta = n/(sqrt(n^2 +1))`

A

`sintheta=(n+1)/n`

B

`sintheta=(n^2+1)/(n+1)`

C

`sectheta=(n+2)/(n-1)`

D

`sectheta=(n)/(sqrt(n^2+1))`

Text Solution

Verified by Experts

The correct Answer is:
C
(a) `sintheta=(n+1)/n=1+1/ngt1`, which is not true.
(b) `sintheta =(n^2+1)/(n+1)gt1`, which is not true.
(c ) `sectheta=(n+2)/(n-1)gt1`, which is ture.
(d) `sectheta =n/(sqrt(n^2+1))lt1`, which is not ture.
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