The principal solution of the equation sin ⁡ x = 1 / 2 that is less than π 2 is A) π 3 B) π 2 C) π 6

Question

The principal solution of the equation   sin  ⁡  x  =  1      /    2 that is less than       π    2   is A)      π    3  B)      π    2  C)      π    6

fodheargnl0 · Accepted Answer

The right answer is C       π    6  We have equation is:  sin  ⁡  x  =      1    2    ⇒  sin  ⁡  x  =  sin  ⁡      π    6   Hence, one principal solution of the equation is       π    6   Also,   sin  ⁡  x  =  sin  ⁡  (  π  −  x  ) Hence,   sin  ⁡      π    6    =  sin  ⁡  (  π  −      π    6    ) Or,   sin  ⁡      π    6    =  sin  ⁡            5      π        6   Therefore, the other main answer to the equation is             5      π        6  . The principal solution which is less than       π    2   is       π    6

The principal solution of the equation sin x=1/2 that is less than pi/2 is A) pi/3 B) pi/2 C) pi/6

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