How do you find the exact value of 2 cos pi/3 - 6 tan pi/3?

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How do you find the exact value of 2 cos pi/3 - 6 tan pi/3?

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Answer 1 · 2016-06-19T01:53:20

$1 - 6 \sqrt{3}$ $1 - 6sqrt3$

Explanation:

Trig table -->
$2 cos (\frac{π}{3}) = 2 (\frac{1}{2}) = 1$ $2cos (pi/3) = 2(1/2) = 1$
$6 tan (\frac{π}{3}) = 6 (\sqrt{3})$ $6tan (pi/3) = 6(sqrt3)$
Therefor,
$2 cos (\frac{π}{3}) - 6 tan (\frac{π}{3}) = 1 - 6 \sqrt{3}$ $2cos (pi/3) - 6tan (pi/3) = 1 - 6sqrt3$

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How do you find the exact value of 2 cos pi/3 - 6 tan pi/3?

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