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The most general solution of tan theta =...

The most general solution of `tan theta =-1 and cos theta = 1/(sqrt(2))` is

A

`n pi+(7 pi)/4`

B

`n pi+(-1)^(n) (7pi)/4`

C

`2npi+(7pi)/4`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Since `tan theta lt 0` and `cos theta gt 0, theta` lies in the fourth quadrant. Then `theta=7 pi//4`.
Hence, the general value of `theta` is `2n pi+7 pi//4, n in Z`.
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