Write the polar form of the number:
R=sqrt(9+7)=4
θ=arcsin(-3/4)
The modulus of the result is 45 = 1024
The argument of the result is 5*arcsin(-3/4) = -4.24031
Convert back to standard form: 1024(cos -424031+i sin -4.24031)
Jacob G.
asked 10/21/21Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. (Round all numerical values to two decimal places.)
(√7 - 3i)5
Write the polar form of the number:
R=sqrt(9+7)=4
θ=arcsin(-3/4)
The modulus of the result is 45 = 1024
The argument of the result is 5*arcsin(-3/4) = -4.24031
Convert back to standard form: 1024(cos -424031+i sin -4.24031)
Mark M. answered 10/22/21
Mathematics Teacher - NCLB Highly Qualified
z = √7 - 3i
||z|| = 4
sin θ = -0.75
θ = -0.848
z5 = 45(cos 5(-0.848) + sin 5(-0.848))
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