TS EAMCET · Maths · Complex Number
If \(\left(\frac{\cos \theta+i \sin \theta}{\sin \theta+i \cos \theta}\right)^{2020}+\left(\frac{1+\cos \theta+i \sin \theta}{1-\cos \theta+i \sin \theta}\right)^{2021}\) \(=x+i y\), then the value of \(x+y\) at \(\theta=\frac{\pi}{2}\) is
- A 2
- B 1
- C -1
- D 2020
Answer & Solution
Correct Answer
(A) 2
Step-by-step Solution
Detailed explanation
At \(\theta=\frac{\pi}{2}\) \(\left(\frac{\cos \theta+i \sin \theta}{\sin \theta+i \cos \theta}\right)^{2020}+\left(\frac{1+\cos \theta+i \sin \theta}{1-\cos \theta+i \sin \theta}\right)^{2021}\)…
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