[z+z^(3)+z^(5)+...z^(2n-1)=z(z(1-z^(2n))...

[z+z^(3)+z^(5)+...z^(2n-1)=z(z(1-z^(2n)))/(1-z^(2))," prove that "],[[" (i) "cos theta+cos3 theta+cos5 theta+...cos(2n-1)theta=(sin2n theta)/(2sin theta)],[" (ii) "sin theta+sin3 theta+sin5 theta+...+sin(2n-1)theta=(1+cos2n theta)/(2sin theta)]]

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