SOLUTION: Use half-angle formulas to come up with an exact expression for each functionvalue below.I dont have to simily the answer. tan(pi/6) tan(pi/8).

Question 505230: Use half-angle formulas to come up with an exact expression for each functionvalue below.I dont have to simily the answer.
tan(pi/6)
tan(pi/8).

Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Use half-angle formulas to come up with an exact expression for each functionvalue below.I dont have to simily the answer.
tan(pi/6)
tan(pi/8).
==================
Using the formula tan(A/2) = (1-cos(A))/sin(A), we have
tan(pi/6) = (1-cos(pi/3))/sin(pi/3) = (1 - 0.5)/(sqrt(3)/2)) = 1/sqrt(3)
tan(pi/8) = (1-cos(pi/4))/sin(pi/4) = (1 - 1/sqrt(2))/(1/sqrt(2)) = sqrt(2) - 1
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