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Aby Alex Grade: 12
        

sin-1x + sin-12x = ∏/3

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Aby


  -1≤ 2x≤1


  -1/2 ≤x≤1/2


now


sin-1x + sin-12x = ∏/3



 sin-12x = ∏/3  -sin-1x


take sin



   2x = sin∏/3 cos sin-1x  -cos∏/3  sinsin-1x


        =√3 /2 √(1-x2)  -1/2 x


 or  5x/2  =√3 /2 √(1-x2)


square


  25x2 =3 (1-x2)


  x2 =3/28


 x= =±√3/28


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Badiuddin

7 years ago
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