How do you use the point (-1,1) on the terminal side of the angle to evaluate the six trigonometric functions?

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How do you use the point (-1,1) on the terminal side of the angle to evaluate the six trigonometric functions?

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Answer 1 · 2016-11-28T15:04:08

Find values of trig functions

Explanation:

On the trig unit circle, the point (-1, 1) is located on the arc
$t = (3pi)/4$ or arc $t = -(5pi)/4$ (Co-terminal).
With $t = (3pi)/4$ the unit circle and the trig table of special arcs give the 6 values of the 6 trig functions:
$sin t = sqrt2/2$
$cos t = - sqrt2/2$
$tan t = sin/(cos) = - 1$
$cot t = 1/(tan) = - 1$
$sec t = - 2/sqrt2 = - sqrt2$
$csct = 2/sqrt2 = sqrt2$

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How do you use the point (-1,1) on the terminal side of the angle to evaluate the six trigonometric functions?

1 Answer

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