Mathematics
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OpenStudy (anonymous):
Math help ! Medals will be given + fan !
13 years ago
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OpenStudy (anonymous):
For a standard position angle determined by the point (x,y) what are the values of the trigonometric functions?
For the point (16,12) find sin theta and cos theta
13 years ago
OpenStudy (anonymous):
@bahrom7893
13 years ago
OpenStudy (anonymous):
@texaschic101
13 years ago
OpenStudy (anonymous):
@agent0smith
13 years ago
OpenStudy (anonymous):
ok
13 years ago
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OpenStudy (anonymous):
this might help
13 years ago
OpenStudy (anonymous):
That helps , but in fractions what would my answer be ?
13 years ago
OpenStudy (anonymous):
13 years ago
OpenStudy (anonymous):
for example ?
13 years ago
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OpenStudy (ddcamp):
x = length * cos(theta), y = length * sin(theta)
length = sqrt(x² + y²)
So:
\[\cos(\theta) = \frac{ x }{ \sqrt{x^2 + y^2} } ; \sin(\theta) = \frac{ y }{ \sqrt{x^2 + y^2} }\]
13 years ago
OpenStudy (ddcamp):
Oh, and
\[\tan(\theta) = \frac{ y }{ x }\]
13 years ago
OpenStudy (anonymous):
Okay so what is my answer @smartguy1124 & @DDCamp
13 years ago
OpenStudy (anonymous):
i got 9/15
13 years ago
OpenStudy (anonymous):
yeah, but look at my answer choice i just uploaded ?
13 years ago
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OpenStudy (anonymous):
ok
13 years ago
OpenStudy (anonymous):
ok yeah then its 9/15
13 years ago
OpenStudy (anonymous):
all of them say 9/15 so what are you saying lol ?
13 years ago
OpenStudy (ddcamp):
Just plug in 16 for x and 12 for y, giving
cos(theta) = 0.6
sin(theta) = 0.8
sec(theta) = 1/(cos(theta)) = 15/9
csc(theta) = 1/(sin(theta)) = 5/4
13 years ago
OpenStudy (anonymous):
omg i did it the rong way
13 years ago
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OpenStudy (anonymous):
Ya'll are really confusing me.
Would my answer be
A
B
C
D
13 years ago
OpenStudy (anonymous):
sorry
13 years ago
OpenStudy (anonymous):
okay so scince the cos(theta) = 0.6 that means the answer is 9/15
13 years ago
OpenStudy (anonymous):
thats unless the cos(theta) is rong
13 years ago
OpenStudy (anonymous):
I understand, but everything on my answer choice has 9/15. dId you not see that ?
13 years ago
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OpenStudy (ddcamp):
A.
13 years ago
OpenStudy (anonymous):
Are you 100% sure ?
13 years ago
OpenStudy (ddcamp):
Yup
13 years ago
OpenStudy (anonymous):
no
13 years ago
OpenStudy (anonymous):
what is it then ?
13 years ago
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OpenStudy (anonymous):
cos 9/15
13 years ago
OpenStudy (anonymous):
i mean csc
13 years ago
OpenStudy (ddcamp):
cos = 9/15, so sec = 15/9
13 years ago
OpenStudy (anonymous):
Okay i don't understand anything that your saying @smartguy1124
13 years ago
OpenStudy (anonymous):
the answer is d
13 years ago
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OpenStudy (ddcamp):
@smartguy1124 csc and sec can not ever be less than 1.
13 years ago
OpenStudy (anonymous):
okay which one is it A or D ?
13 years ago
OpenStudy (anonymous):
i know that for sure
13 years ago
OpenStudy (anonymous):
D
13 years ago
OpenStudy (anonymous):
and yes it can @DDCamp
13 years ago
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OpenStudy (ddcamp):
Since sin(theta) and cos(theta) will always be between 1 and negative 1, csc(theta) = 1 / sin(theta) can not be between -1 and 1.
13 years ago