Mathematics
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OpenStudy (anonymous):
If sin θ = 1/4 and tan θ > 0, what is the value of cos θ?
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OpenStudy (anonymous):
A) negative square root of 15
B) square root of 15
C) square root of 15 over 4
D) negative square root of 15 over 4
OpenStudy (nayef):
I will give you a hint: \[\theta is \in the first quadrant. That means \between 0 and 90 degree.\]
OpenStudy (anonymous):
and im lost
OpenStudy (nayef):
hhhha
OpenStudy (nayef):
Okey you know:
\[\cos^2\theta+\sin^2\theta=1\]
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OpenStudy (anonymous):
sure
OpenStudy (nayef):
\[\cos^2\theta+(\frac{ 1 }{ 4 })^2=1\]
OpenStudy (nayef):
Do you know how to solve the previus eauation!
OpenStudy (anonymous):
nope
OpenStudy (anonymous):
look i appreciate ur helping me but i just want the answer plz
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OpenStudy (nayef):
You have to learn :)
OpenStudy (nayef):
\[\cos \theta=\sqrt{1-\frac{ 1 }{ 16 }}\]
OpenStudy (nayef):
insert it in the calc!
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
0.96?
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OpenStudy (nayef):
\[\frac{ \sqrt{15} }{ 4 }\]
OpenStudy (anonymous):
i should learn to read
it says the SINE
OpenStudy (anonymous):
|dw:1438368638170:dw|
OpenStudy (anonymous):
adjacent sides is \(\sqrt{4^2-1^2}=\sqrt{15}\)
OpenStudy (anonymous):
oh
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OpenStudy (anonymous):
so the cosine is \(\frac{\sqrt{15}}{4}\) same answer as the other way, just a different perspective