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Please show that modulus complex number cos 60 degrees+ i sin 60degrees =1.

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Please show that modulus complex number cos 60 degrees+ i sin 60degrees =1.

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We have given

`cos(60^o)+isin(60^o)=1`

We can write

Z=` (cos(60^o)+isin(60^o))=(1/2)+isqrt(3)/2`

`` mod(z)=`sqrt((1/2)^2+(sqrt(3)/2)^2)`

`=sqrt((1+3)/4)`

`=1`

`=RHS`

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