if cos (1-i) = a+ib, where a , b R and , then
Mathematics · Class 12 · CBSE — Complex Numbers
if cos (1-i) = a+ib, where a , b R and , then
- \(a = \frac{1}{2} \left ( e - \frac{1}{e} \right ) \cos{1} , b = \frac{1}{2} \left ( e + \frac{1}{e} \right ) \sin{1}\)
- \(a = \frac{1}{2} \left ( e + \frac{1}{e} \right ) \cos{1} , b = \frac{1}{2} \left ( e - \frac{1}{e} \right ) \sin{1}\)
- \(a = \frac{1}{2} \left ( e + \frac{1}{e} \right ) \cos{1} , b = \frac{1}{2} \left ( e + \frac{1}{e} \right ) \sin{1}\)
Answer
(B) a = 1 2 ( e + 1 e ) 1 , b = 1 2 ( e - 1 e ) 1
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