Find the exact value of:
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Find the exact value of:

[From: ] [author: ] [Date: 11-10-14] [Hit: ]
......
cos^2(pi/6)/sec^2(pi/4)sin(pi/3)

How would I approach this?

-
cos(pi/6) = sqrt(3)/2 (look at an equilateral triangle)
so cos^2(pi/6)=3/4
sec^2(pi/4) = 1 / cos^2(pi/4) = 1 / (1/2) = 2
sin(pi/3) = cos(pi/6) = sqrt(3)/2 so

cos^2(pi/6)/sec^2(pi/4)sin(pi/3) = (3/4) / (2sqrt(3)/2) = (3/2) / (sqrt(3)) = sqrt(3)/2
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