How do you evaluate $sec(-pi/18) * cos(37pi/18)$ ?

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How do you evaluate $sec(-pi/18) * cos(37pi/18)$ ?

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Answer 1 · 2018-03-06T04:32:28

= 1

Explanation:

$sec (- pi/18) = 1/(cos (-pi/18)) = 1/cos (pi/18)$
$cos ((37pi)/18) = cos (pi/18 + (36pi)/18) = cos (pi/18)$
The product transform itself to:
$P = cos (pi/18)/(cos (pi/18)) = 1$

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How do you evaluate $sec(-pi/18) * cos(37pi/18)$ ?

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