How do you find the exact values of the six trigonometric function of $theta$ if the terminal side of $theta$ in the standard position contains the point (0,-6)?

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How do you find the exact values of the six trigonometric function of $theta$ if the terminal side of $theta$ in the standard position contains the point (0,-6)?

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Answer 1 · 2016-11-28T14:39:17

Find 6 values of trig functions

Explanation:

On the trig unit circle, the point (0, -6) is located on the axis Oy', and the related arc is t = (3pi)/2, or t = (-pi/2)
We have with t = (3pi)/2 -->
sin t = - 1
cos t = 0
$tan t = sin/(cos) = infinity$
cot t = 0
$sec t = 1/(cos) = - infinity$
$csc t = 1/(sin) = 1/(-1) = - 1$

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How do you find the exact values of the six trigonometric function of $theta$ if the terminal side of $theta$ in the standard position contains the point (0,-6)?

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How do you find the exact values of the six trigonometric function of $theta$ if the terminal side of $theta$ in the standard position contains the point (0,-6)?