Use De Moivre’s theorem to find
De Moivre's theorem states that for any complex number \(z = r(\cos \theta + i \sin \theta)\), where \(r\) is _______ ________ _____ _____ ______ ________.
_______ _______ ____ __________ ___ ___ ________.
_____ _________ ______ _____ ____ __________ _______ _________ __________.
_______ ____ ____ ____ __________ ____ _____ ____ ____ ________ ________.
_______ _________ _________ ______ ______ _______.
______ _____ __________ _________ _________ ___ _______.
____ _________ __________ _________ _______ _________ __________ ______ ___ _______ _____ __________.
_____ _________ __________ ______ ___ _________ __________.
__________ _____ ________ _______ _______ _______ ______ _____ ___ ____.
_________ _____ ________ __________ _________ ________ _________.
__________ _________ _______ ____ __________ ______ _______ _____ ________ _______ ___.
______ _________ _____ ___ ______ ________ ________ ___ _____ __________ ____.
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If α, β are roots of – 3ax +
= 0, find the value(s) of a if
+
=
.
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A tailor needs at lease 40 large buttons and 60 small buttons. In the market, buttions are available in two boxes or cards. A box contains 6 large and 2 small buttons and a card contains 2 large and 4 small buttons. If the cost of a box is $3 and cost of a card is $2, find how many boxes and cards should be purchased so as to minimize the expenditure.
Evaluate :