Question
Find all solutions of the equation in the interval [0,2pi ) csc2x-sqrt (2)=0 Write your answer in radians in terms of pi If there is more than one solution , separate them with commas.
Solution
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(225 Votos)
Fernando
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Resposta
To find all solutions of the equation
in the interval
, we first solve the equation for
:
Since
, we can rewrite the equation as:
Taking the reciprocal of both sides, we get:
Simplifying further, we have:
The solutions for
in the interval
are:
Dividing each of these by 2, we get:
Therefore, the solutions to the equation
in the interval
are: