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Maths-

General

Easy

Question

The sum of all the solution of cotθ= sin 2θ(θ ≠ n $straight pi$ , n integer), 0 , $less or equal than theta less or equal than pi$ is

3 $π$ /2
$π$
infinite
2 $π$

The correct answer is: 3 $straight pi$ /2

For the given relation cos q = (2 sin q cos q) sin q, sin q¹ 0
$table row cell text end text text o end text text r end text text end text s i n invisible function application theta equals plus-or-minus fraction numerator 1 over denominator square root of 2 end fraction text end text text o end text text r end text text end text c o s invisible function application theta equals 0 end cell row cell text end text text o end text text r end text text end text theta equals fraction numerator pi over denominator 4 end fraction comma fraction numerator 3 pi over denominator 4 end fraction comma fraction numerator pi over denominator 2 end fraction end cell end table$
Then the sum of roots is 3p/2

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