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PreCal

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sin theta=4/7, find the exact value of sin (theta+Pie/6)

  • PreCal -

    Use the sin(A + B) formula

    sin(A + B) = sin A cosB + sin B cosA,
    where A = sin^-1(4/7) and B = pi/6

    sin(pi/6) = 1/2
    cos(pi/6)= (sqrt3)/2
    sin(theta) = 4/7 = 0.57143
    cos(theta) = sqrt[1 - (4/7)^2]
    = sqrt(33/49) = 0.82065

    Take it from there.

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