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arg{sin8π/5+i(1+cos8π/5)} is equal to a) 3π/10 b) 7π/10 c) 4π/5 d) 3π/5
arg{sin8π/5+i(1+cos8π/5)} is equal to
a) 3π/10
b) 7π/10
c) 4π/5
d) 3π/5
arg{sin8π/5+i(1+cos8π/5)} =arg{2sin(4π/5)cos(4π/5)+i(2cos24π/5)} =arg[2icos(4π/5){cos(4π/5)-isin(4π/5)}] =arg{i}+arg{cos(4π/5)-isin(4π/5)} =∏/2 +(-4∏/5) =-3∏/10
arg{sin8π/5+i(1+cos8π/5)}
=arg{2sin(4π/5)cos(4π/5)+i(2cos24π/5)}
=arg[2icos(4π/5){cos(4π/5)-isin(4π/5)}]
=arg{i}+arg{cos(4π/5)-isin(4π/5)}
=∏/2 +(-4∏/5)
=-3∏/10
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