Express the complex number 5/2 (cos150° + i sin150°) in standard a + bi form.

1) cos (150°)=- cos(180°-150°) = - cos(30°) and  - cos30° =  - √(3) / 2

sin(150°) = sin(180°-150°) =sin30. and sin30° = 1/2

Then : 5/2(cos 150° + i sin 150°) becomes : 5/2{(-√(3) /2 + I (1/2)]

OR 5/4( - √3 + i)

Step-by-step explanation:

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

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