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Answer to Question #7901 in Trigonometry 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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