If x= cos theta + i sin theta , write the value of x ^4 - 1/x^4
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Answer:
x=1
Step-by-step explanation:
cos theta +sin theta =1
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x+iy=1+cosθ+isinθ1
=2cos22θ+i2sin2θcos2θ1
=2cos2θ1×cos2θ+isin2θ1
=2cos2θ1×ei2θ1
=2cos2θ1×e−i2θ=2cos2θ1(cos2θ−)
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