How do you find the exact value of the following using the unit circle sec (-3 pi/ 4)?

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How do you find the exact value of the following using the unit circle sec (-3 pi/ 4)?

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Answer 1 · 2016-10-11T14:33:49

$- sqrt2$

Explanation:

$sec ((-3pi)/4) = 1/(cos)$
First, find $cos ((-3pi)/4)$ .
Trig table of special arcs and unit circle -->
$cos ((-3pi)/4) = cos (pi/4 - (4pi)/4) = cos (pi/4 + pi) =$
$= -cos (pi/4) = - sqrt2/2$
There for:
$sec ((-3pi)/4) = 1/(cos) = - 2/sqrt2 = - sqrt2$

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How do you find the exact value of the following using the unit circle sec (-3 pi/ 4)?

1 Answer

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