Need help!!
For each of the following values of sin theta determine the measure of theta if
pie/2
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OpenStudy (mtalhahassan2):
what you mean my the choices
OpenStudy (anonymous):
\[\frac{\sqrt{2}}{2} = \sin( \theta)\]
OpenStudy (anonymous):
is this what you would like to know?
OpenStudy (mtalhahassan2):
yes
OpenStudy (anonymous):
if you have a calculator you can check it by taking the inverse sin of root 2 over 2
otherwise by unit circle defintion we know that it is \[\frac{\pi}{4}\]
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OpenStudy (anonymous):
that is not in our domain so we have to find one in the second quadrant
OpenStudy (anonymous):
|dw:1430451212277:dw|
OpenStudy (anonymous):
so there is two angles that would work in the domain
OpenStudy (anonymous):
|dw:1430451379744:dw|
OpenStudy (anonymous):
whats halfway between pi/2 and pi
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OpenStudy (mtalhahassan2):
3pie/2
OpenStudy (anonymous):
no that is at the bottom
OpenStudy (anonymous):
maybe this will help. its between
\[\frac{2\pi}{4} and \frac{4\pi}{4}\]
OpenStudy (mtalhahassan2):
3pie/4
OpenStudy (anonymous):
yes
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OpenStudy (mtalhahassan2):
I have a question like how you find the pie/4
OpenStudy (mtalhahassan2):
so basically the angle be in the quardant 2 and 3
OpenStudy (mtalhahassan2):
right
OpenStudy (mtalhahassan2):
because the given info tell us that it be between 90 to 270