2 sin square x equals to 1 upon 2 find x​

Question

2 sin square x equals to 1 upon 2 find x​

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Ximena 3 weeks 2021-10-01T14:30:18+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-01T14:31:55+00:00

    \star\:\:\:\sf\large\underline\blue{Answer:-}

    Given,

     \sf2 \:  { \sin}^{2} (x) =  \frac{1}{2}

     \sf \implies { \sin }^{2} (x) =  \frac{1}{4}

     \sf \implies  \sin  (x) =  \frac{1}{2}

     \sf \implies  \sin  (x) = \sin(30 \degree)

     \sf \implies  x = 30 \degree

    0
    2021-10-01T14:32:02+00:00

    Answer:

    2sin^2 X = 1/2. (given)

    sin^2 X = 1/4

    sin X = √1/4

    sin X = 1/2 ——————(i)

    now, we know that,

    sin 30° = 1/2. ——————(ii)

    from equation (i) and (ii)

    we get,

    so, X = 30°

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