# Answer on Trigonometry Question for Mercedes Jones

Question #7901

Write the complex number in the form of a+bi? 5/2(cos150degrees+i sin150degrees)

Expert's answer

cos(150)=-cos(30)=-sqrt(3)/2

sin(150)=sin(30)=1/2

So we get

5/2(cos150degrees+i sin150degrees)=5/2*(-sqrt(3)/2+i/2)=-5sqrt(3)/4+5i/4

sin(150)=sin(30)=1/2

So we get

5/2(cos150degrees+i sin150degrees)=5/2*(-sqrt(3)/2+i/2)=-5sqrt(3)/4+5i/4

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