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State true or false for the following : The complex number $\;cos \theta + i sin \theta\;$ can be zero for some $\;\theta$


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Answer : False
Explanation :
False , because $\;cos \theta + i sin \theta =0\;$ => $\;cos \theta=0\;$ and $\;sin \theta=0\;$. But there is no value of $\;\theta\;$ for which $\;cos \theta\;$ and $\;sin \theta\;$ both are zero.
answered Apr 18, 2014 by yamini.v

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