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Prove that the distance of the roots of the equation `|sintheta_1|z^3+|sintheta_2|z^2+|sintheta_3|z+|sintheta_4|=|3|` from z=0 is greater than `2//3.`

A

greater than 2/3

B

less than 2/3

C

greater than `| sin theta_(1)| + | sin theta_(2) | + | sin theta_(2)| + | sin theta_(4)| `

D

less than `| sin theta_(1)| + | sin theta_(2) | + | sin theta_(2)| + | sin theta_(4)| `

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The correct Answer is:
A
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