If tan theta + tan 2theta + tan theta ta...

If `tan theta + tan 2theta + tan theta tan2theta =1` then `theta =`

A

`(n pi)/(3) + (pi)/(9) : n in Z`

B

`(n pi)/(3) + (pi)/(12) : n in Z`

C

`n pi + (-1)^(n)(pi)/(6) : n in Z`

D

`n pi + (pi)/(4) : n in Z`

Text Solution

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The correct Answer is:

B

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If tan theta + tan 2theta = tan 3theta , then theta =

A

`n pi, n pi pm pi//3`

B

`npi/,npi//3

C

`n pi//3, npi//4`

D

`n pi//3, n pi//5`

If tan theta + tan 2theta + tan 3theta = 0 then theta =

A

`(n pi)/(3) : n in Z` or `n pi pm Tan^(-1)(1//sqrt(2)) : n in Z`

B

`(n pi)/(3)+(-1)^(n)(pi)/(6) : n in Z`

C

`(2n pi)/(3)pm(pi)/(9) : n in Z`

D

`(4n+1)(pi)/(12): n in Z`

If tantheta+tan2theta+tantheta. tan2theta=1 then theta =

A

`(npi)/(3)+(pi)/(9)`

B

`(npi)/(3)+(pi)/(12)`

C

`npi+(-1)^(n)(pi)/(6)`

D

`npi+(pi)/(4)`

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