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Principle Of Mathematical Induction

Question

Solve the following equation, giving the general solution:

$cot squared straight x plus 3 space cosecx plus 3 equals 0$

Solution

Solution not provided.
Ans. $space space space straight x equals nπ plus left parenthesis negative 1 right parenthesis to the power of straight n open parentheses negative straight pi over 2 close parentheses space or space straight x space equals space 2 nπ plus left parenthesis negative 1 right parenthesis to the power of straight n open parentheses negative straight pi over 6 close parentheses comma space straight n space element of space straight Z$