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Find the principal solution of the equa...

Find the principal solution of the equation `sinx=(sqrt(3))/2`.

Text Solution

Verified by Experts

`0<= x <= 2 pi`
as we know that, `sqrt3/2 = sin (pi/3)`
sin x = sin (pi/3)
so, `x=pi/3 ` principal solution
also, `pi-x = pi/3 `
`x= pi- pi/3 = (2pi)/3` principal solution
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  • Find the principal solution of the equation sin x = (sqrt3)/(2) .

    A
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    B
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    B
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    D
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    A
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    B
    `((pi)/(3) , (4pi)/(3))`
    C
    `((7pi)/(6) , (11pi)/(6))`
    D
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