How do you evaluate $sec (40) \cdot sin (50)$ $sec (40) * sin (50)$ ?

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How do you evaluate $sec (40) \cdot sin (50)$ $sec (40) * sin (50)$ ?

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Answer 1 · 2016-05-26T04:18:11

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Explanation:

$P = sec (40) sin (50) = \frac{sin (50)}{cos (40)}$ $P = sec (40)sin (50) = sin (50)/cos (40)$
Reminder of property of complementary arcs:
$cos (\frac{π}{2} - x) = sin x$ $cos (pi/2 - x) = sin x$
$cos (40) = cos (90 - 50) = sin (50)$ $cos (40) = cos (90 - 50) = sin (50)$
Therefor:
$P = \frac{sin (50)}{sin (50)} = 1$ $P = sin (50)/sin (50) = 1$

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How do you evaluate $sec (40) \cdot sin (50)$ $sec (40) * sin (50)$ ?

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