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The most general value of $\theta$ which satisfies both the equations $\tan \theta=-1$ and $\cos \theta=\large\frac{1}{\sqrt 2}$ is :

\[\begin {array} {1 1} (a)\;n \pi+7 \frac{\pi}{4} & \quad (b)\;2n\pi+\frac{7\pi}{4} \\ (c)\;n \pi+(-1)^n \frac{7 \pi}{4} & \quad (d)\; \frac{7 n \pi}{4} \end {array}\]Here n is any integer
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$(b)\;2n\pi+\frac{7\pi}{4} $
answered Nov 7, 2013 by pady_1

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