If t = -2π/3, evaluate (if possible) sin t, cos t, tan t

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21-11-2016
Mathematics

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If t = -2π/3, evaluate (if possible) sin t, cos t, tan t

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HomertheGenius HomertheGenius · Answer 1 · 2016-11-24T14:44:33+01:00

HomertheGenius HomertheGenius

24-11-2016

t = - 2 π / 3 = - 120° = 240°
From the unit circle:
sin t = - √ 3 / 2
cos t = - 1/2
tan t = sin t / cos t = ( - √3 / 2 ) : ( - 1/2 ) = √ 3

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