Evaluate the expression without the aid of a calculator. arctan 0 arccos 1
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OpenStudy (anonymous):
@dpaInc
OpenStudy (anonymous):
HELP PLEASE!!! :(
OpenStudy (anonymous):
tg x = 0
find x:
tg x = sinx/cos x
sinx =0 for x = nPi
OpenStudy (anonymous):
just like in inverse functions with logarithms and exponentials, you rewrite what this means in it's inverse form:
\[\huge arctan0=y\Leftrightarrow tany=0 \]
what is y?
OpenStudy (anonymous):
0
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OpenStudy (anonymous):
y=x
OpenStudy (anonymous):
is this your question?
\[\huge arctan0 \cdot arcos1 \]????
OpenStudy (anonymous):
THEY JUST WANT YOU TO EVALUATE IT
OpenStudy (anonymous):
ow... my ears!
OpenStudy (anonymous):
virtual ears...
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OpenStudy (anonymous):
lol sorry my caps key is having issues
OpenStudy (anonymous):
ok... so arctan0 = 0 is correct...
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
arctg 0 = n*Pie
arcos 1 = 2n*Pie
OpenStudy (anonymous):
you can do that with arccos1=y ...
you'll need to rewrite it in it's inverse form: cosy = 1 ...what's y?
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OpenStudy (anonymous):
1?
OpenStudy (anonymous):
nope...
OpenStudy (anonymous):
arctan is multivalued function....
OpenStudy (anonymous):
0 is just one solution...
OpenStudy (anonymous):
yes, irealize that @myko, but we're just looking for the principal value for these inverse trig functions..
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OpenStudy (anonymous):
and the range for arctan is restricted to -pi/2 to pi/2
OpenStudy (anonymous):
ok i guess the point is Arctan and arctan.
OpenStudy (anonymous):
my bad
OpenStudy (anonymous):
i think he just wants the value for arctan0, and not the solutions to the equation 0=arctanx
OpenStudy (anonymous):
the equation will have the solutions you pointed out... but yeah, some texts interchange Arctan an arctan without giving a second thought... good point @myko ....:)
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