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How do you find the six trigonometric functions of $(-pi)/3$ ?

1 Answer

Jun 3, 2015

$pi/3$ (and by extension $(-pi)/3$ is an angle of one of the standard trigonometric triangles:
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From this we can see
$color(white)("XXXX")$ $sin(-pi/3) = -sqrt(3/2)$
$color(white)("XXXX")$ $color(white)("XXXX")$ $csc(-pi/3) = -2/sqrt(3)$

$color(white)("XXXX")$ $cos(-pi/3) = 1/2$
$color(white)("XXXX")$ $color(white)("XXXX")$ $sec(-pi/3) = 2$

$color(white)("XXXX")$ $tan(-pi/3) = -sqrt(3)$
$color(white)("XXXX")$ $color(white)("XXXX")$ $cot(-pi/3) = - 1/sqrt(3)$

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