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Mathematics 16 Online
OpenStudy (anonymous):

4(cos150+i sin150)

OpenStudy (kropot72):

This is the polar form of a complex number. What is the question?

OpenStudy (kira_yamato):

4 e^(150i)

OpenStudy (anonymous):

the question is write the complex number in rectangular form

OpenStudy (kropot72):

\[a+ib=4\cos 150+i4\sin 150\] \[4\cos 150=a\] \[4\sin 150=b\] \[4(\cos 150+i \sin 150)=-3.464+i2\]

OpenStudy (anonymous):

finally got it too lol thankz

OpenStudy (anonymous):

[square root of 7(cos 35 + i sin 35)]^6

OpenStudy (anonymous):

write in standard form a+bi

OpenStudy (anonymous):

cos150= cos(180-30)= -cos 30=-sqrt3/2 simimilarly sin150=sin30=1/2 noe try to solve urself

OpenStudy (kropot72):

Using Demoivre's Theorem the expression becomes:\[(\sqrt{7})^{6}(\cos (6\times 35)+i \sin (6\times 35))\]

OpenStudy (anonymous):

so here arguement is 30degrees or pi/6 radian now use euler's form n u'll get |dw:1335602161781:dw|

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