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Answered by
6
SOLUTION ☺️
Cos300° + i sin300°
As 300° is lies in 4th quadrant where Cos is positive and is reference angle of 60°
and it is away from x axis
we know that cos60° 1/2
cos300°= 1/2
costheta >0 in the 4th quadrant
So, cos 300°= 0.5
We know that,
Sin300°= sin(360- 60)
= sin360× cos60°
= -cos360° × sin60°
= 0- sin60°
= -√3/2
Therefore,
cos300° + i sin300°
= -0.5- √3/2 i ans.
Hope it helps
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