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4 September, 03:31

Sin^2 (x) = 3/4 solve the equation for 0

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  1. 4 September, 05:46
    0
    x = π/3, 2π/3, 4π/3, 5π/3

    Step-by-step explanation:

    Sin^2 (x) = 3/4

    Or, Sin^2 (x) - 3/4 = 0

    Or, Sin^ (x) - (root 3 / 2) ^ 2 = 0 (Transformed 3/4 into √3/2 format so that if we square it, the value doesn't change)

    Or, (Sin (x) + √3/2) (Sin (x) - √3/2) = 0

    Or, Sin (x) = ± (√3/2)

    Hence, x = π/3, 2π/3, 4π/3, 5π/3 as the range is between 0 to 360 degree.
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