Mathematics
10 Online
OpenStudy (hang254):
Given the triangle below, what is sec∡C?
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OpenStudy (hang254):
OpenStudy (hang254):
Option A
OpenStudy (hang254):
Option B
OpenStudy (hang254):
Option C
OpenStudy (hang254):
Option D
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OpenStudy (anonymous):
SOH-CAH-TOA:
SOH : \(\sin \theta = \large \frac{opposite}{hypotenuse} \)
CAH : \(\cos \theta = \large \frac{adjacent}{hypotenuse} \)
TOA : \(\tan \theta = \large \frac{opposite}{adjacent} \)
Use \(a^2+b^2=c^2\) to find missing sides
Secant is the inverse of cosine, \(\large\frac{1}{\cos\theta}\)
OpenStudy (anonymous):
Can you name the sides adjacent to C and the hypotenuse that touches C?
OpenStudy (hang254):
I would use cos
OpenStudy (anonymous):
Inverse.
OpenStudy (callisto):
You don't have to find the missing side.
cos C = AC/BC
sec C = 1/cosC = 1/ (AC/BC) = BC / AC =...
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OpenStudy (anonymous):
\(\large\frac{hyp}{adj}\)
OpenStudy (hang254):
So how would i work it out?
OpenStudy (anonymous):
What's your hypotenuse?
OpenStudy (hang254):
7
OpenStudy (anonymous):
;-)
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OpenStudy (anonymous):
Yep, and the other side adjacent to \(\angle C\)?
OpenStudy (hang254):
4
OpenStudy (anonymous):
So, what did I say earlier?
OpenStudy (hang254):
hypotenuse/adjacent
7/4=1.75
OpenStudy (anonymous):
;-)
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OpenStudy (hang254):
ok, got it. Thank you both :)