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Mathematics 18 Online
OpenStudy (anonymous):

Which expression shows the value of c?

OpenStudy (anonymous):

b over sin 45 degrees b over cos 45 degrees a cos 45° a sin 45°

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (jdoe0001):

check your SOH CAH TOA

OpenStudy (jdoe0001):

http://www.mathwords.com/s/s_assets/s126.gif which one do you think?

OpenStudy (anonymous):

sin?

OpenStudy (jdoe0001):

your choices have only cosine and sine functions so get the cosine of 45 degrees and it's sine too then solve for "c"

OpenStudy (jdoe0001):

what would be the \(\bf cos(45^o)\ \ \ ?\)

OpenStudy (anonymous):

.7.07

OpenStudy (anonymous):

You don't sovlve they just ask what expression shows it @jdoe0001

OpenStudy (jdoe0001):

yes, so in YOUR TRIANGLE, what would be the \(\bf cos(45^o) \)?

OpenStudy (anonymous):

cos(45)=.707 if thats what your asking

OpenStudy (jdoe0001):

well, ahemm , yes \(\bf \cfrac{\sqrt{2}}{2} = 0.707\) that's a value for the Unit Circle but we want to know the cosine of 45 degrees in YOUR triangle, the one you have there it'll be an expression in terms of "a" or "b" and "c"

OpenStudy (jdoe0001):

keeping in mind that \(\bf cos(\theta) = \cfrac{\textit{adjacent side}}{\textit{hypotenuse}}\)

OpenStudy (anonymous):

I know all this but I cant figure out this one

OpenStudy (jdoe0001):

so for YOUR triangle, \(\bf cos(45^o) = \cfrac{\textit{YOUR adjacent side}}{\textit{YOUR hypotenuse}}\)

OpenStudy (jdoe0001):

adjacent side of an angle, is the "shorter leg" coming out of it

OpenStudy (jdoe0001):

hypotenuse of an angle, is usually the "longer leg" coming out of it

OpenStudy (jdoe0001):

and the opposite side, is the side "facing off" the angle

OpenStudy (anonymous):

is it answer b?

OpenStudy (jdoe0001):

well, we dunno, we'd need to find the cosine and sine first

OpenStudy (jdoe0001):

once you have both, cosine and sine, you can then solve for "c"

OpenStudy (anonymous):

I got it now. Thanks

OpenStudy (jdoe0001):

yw

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