Mathematics
8 Online
OpenStudy (anonymous):
find the value of tan (sin ^-1(1/2))
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OpenStudy (misty1212):
hi
OpenStudy (misty1212):
do you know a number whose sine is one half?
OpenStudy (anonymous):
hey
OpenStudy (misty1212):
or an "angle" if you want to think that way
an angle whose sine is one half?
OpenStudy (anonymous):
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OpenStudy (anonymous):
those are the choices @misty1212
OpenStudy (misty1212):
no they are not
OpenStudy (misty1212):
your answer should have a \(\pi\) in it if you are working in radians
OpenStudy (vishweshshrimali5):
First, see:
\[\large{\sin^{-1} x = y}\]
means that:
\[\large{x = \sin y}\]
OpenStudy (misty1212):
\[\sin(\theta)=\frac{1}{2}\] find \(\theta\)
it is none of those, they must be answers to a different question
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OpenStudy (misty1212):
oh dear, did you change the question on me?
OpenStudy (vishweshshrimali5):
@misty1212 You have to find \(\tan(\theta)\) :)
OpenStudy (anonymous):
lol this is the full question
OpenStudy (misty1212):
\[\tan(\arcsin(\frac{1}{2}))=\tan(\frac{\pi}{6})\] since \[\sin(\frac{\pi}{6})=\frac{1}{2}\]
OpenStudy (misty1212):
all you need now is
\[\tan(\frac{\pi}{6})\]
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OpenStudy (anonymous):
so choice a is the answer?
OpenStudy (misty1212):
no
OpenStudy (anonymous):
pi is 3
OpenStudy (vishweshshrimali5):
pi is 180 in degrees