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if tan(k+1)theta=tantheta, then theta be...

if tan(k+1)`theta=tantheta`, then `theta` belongs to the set

A

`{n pi : n in l}`

B

`{n pi//2:n in l}`

C

`{n pi//k:n in l}`

D

`{n pi//2k:n in l}`

Text Solution

Verified by Experts

The correct Answer is:
C
Given, `tan(k+1)theta=tantheta`
`implies(k+1)theta=npi+theta`
`impliesktheta=npi`
`theta=(npi)/(k)`
`therefore theta in {(npi)/(k):n in l}`
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