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math

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theta is a first quadrant angle in standard position and cos theta = 1/(sqrt10) .

Find the exact value of sin theta,

  • math - ,

    (sin theta)^2+(cos theta)^2=1;
    (sin theta)^2+1/10=1;
    (sin theta)^2=9/10

    sin theta= 3/(sqrt10)
    OR
    sin theta=-3/(sqrt10)

    But since theta is a first quadrant angle
    ==> sin theta is positive

    Therefore, sin theta= 3/(sqrt10)

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