TS EAMCET · Maths · Complex Number
If cis \(\alpha\) is the common value of \((-1)^{1 / 4}\) and \((-i)^{1 / 2}\) then \(\tan \alpha=\)
- A -1
- B 1
- C \(\sqrt{3}\)
- D \(\frac{1}{\sqrt{3}}\)
Answer & Solution
Correct Answer
(A) -1
Step-by-step Solution
Detailed explanation
\((-1)^{1/4} = \operatorname{cis}\left(\frac{\pi}{4}\right), \operatorname{cis}\left(\frac{3\pi}{4}\right), \operatorname{cis}\left(\frac{5\pi}{4}\right), \operatorname{cis}\left(\frac{7\pi}{4}\right)\)…
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