SOLUTION: Use the exact value of tan(π/6) and the double-angle identity for
tangent to find the exact value of tan(π/12)
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-> SOLUTION: Use the exact value of tan(π/6) and the double-angle identity for
tangent to find the exact value of tan(π/12)
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You can put this solution on YOUR website! Use the exact value of tan(π/6) and the double-angle identity for
tangent to find the exact value of tan(π/12)
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I suspect you mean the half-angle identity instead of the double-angle identity.
Anyway, this is how you solve this problem using the tan half-angle identity.
..
tan(s/2)=sin s/(1+cos s)
tan(π/12)=tan(π/6)/2=sin(π/6)/(1+cos(π/6))=(1/2)/(1+√3/2)=1/(2+√3)
check: (with calculator)
tan(π/12)≈0.2679
exact value as computed=1/(2+√3)≈0.2679
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