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यदि 4 sin alpha cos alpha - 8 sin^(3) al...

यदि `4 sin alpha cos alpha - 8 sin^(3) alpha cos alpha = (sqrt(3))/(2)` तथा `8 cos^(4) alpha - 8 cos^(2) alpha + 1 = (-1)/(2)` है, जहाँ `alpha in (0, (pi)/(2))` है, तो `log_("cos"(alpha)/(2))((sin alpha + cos alpha)/(sqrt(2)))` का मान है:

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