If z-1/z=I. Then find z ^2015-1/z2015

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Yash Baheti · Answer

z-1/z is actually z &ndash; z(bar) which is equal to 2isin (theta) Solving this equation you will get sin (theta) = &frac12; or theta = 30 Now z^2015-1/z2015 is again 2isin2015(theta). 2015*30/360 gives 330. So the answer is 2isin(-30) i.e. -i

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If z-1/z=I. Then find z ^2015-1/z2015

If z-1/z=I. Then find z^{^2015-1/z2015}

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If z-1/z=I. Then find z ^2015-1/z2015

If z-1/z=I. Then find z^2015-1/z2015

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If z-1/z=I. Then find z^{^2015-1/z2015}