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Let by any angle, then cot x = 0 OM = 0 OP coincides OY or OY' i.e. So, general value of x is given by - Wired Faculty

Principle Of Mathematical Induction

Question

Find the general expression for all the angles whose cotangent is zero.

Solution

Let $angle XOP space equals space straight x$ by any angle, then
cot x = 0
$rightwards double arrow$    $OM over OP equals 0$
$rightwards double arrow$ OM = 0
$rightwards double arrow$ OP coincides OY or OY'
i.e.    $space space straight x space equals space plus-or-minus straight pi over 2 comma space plus-or-minus fraction numerator 3 straight pi over denominator 2 end fraction comma space plus-or-minus fraction numerator 5 straight pi over denominator 2 end fraction comma.............$
So, general value of x is given by $straight x equals left parenthesis 2 straight n plus 1 right parenthesis straight pi over 2 comma space straight n space element of space straight Z$

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Principle Of Mathematical Induction

Find the general expression for all the angles whose cotangent is zero.

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