You can put this solution on YOUR website! How do I find the exact ratio of sec pi/6?
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You find the exact value by applying identities and the "unit circle".
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From identities:
sec(pi/6) = 1/cos(pi/6)
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But, from the unit circle we know that cos(pi/6) is sqrt(3)/2
therefore:
sec(pi/6) = 1/cos(pi/6)
sec(pi/6) = 1/[sqrt(3)/2]
sec(pi/6) = 2/sqrt(3)
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Now we "rationalize" (remove sqrt from denominator):
sec(pi/6) = 2/sqrt(3) * sqrt(3)/sqrt(3)
sec(pi/6) = 2sqrt(3)/3 (this is your exact value)
