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OpenStudy (anonymous):
OpenStudy (slaaibak):
4.
arccos (-1/2) = x
cos x = -1/2
x=2pi/3
OpenStudy (anonymous):
OpenStudy (slaaibak):
arcsin(sqrt(2)/2) = x
sin x = sqrt(2)/2
What do you think x is?
OpenStudy (anonymous):
i thought the answer was pi but i got it wrong , this is really frustrating
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OpenStudy (slaaibak):
Think of the sine graph. Where is sin x = sqrt(2)/2 ?
the range of the arcsin function is between [-pi/2,pi/2] so the answer lies within that region
OpenStudy (anonymous):
i honestly dont know, im sorry my teacher is really bad at explaining. I am trying to use the book as a guide but i find it really complicated without anyone's help
OpenStudy (slaaibak):
Hint:
\[{\sqrt2 \over 2 } = {1 \over \sqrt 2}\]
sin x = 1/sqrt2
Does that look familiar?
OpenStudy (slaaibak):
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OpenStudy (anonymous):
ok so the answer is pi/4?
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OpenStudy (slaaibak):
yep :)
OpenStudy (anonymous):
got it! thank youu
OpenStudy (anonymous):
for arccos0 the answer is pi/2 right?
OpenStudy (slaaibak):
yeah :) nice!
OpenStudy (anonymous):
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OpenStudy (slaaibak):
Firstly, they give you a key point: [-3,pi]
This is important, since we know the domain of the arccos and arcsin functions are between -1 and 1.
arctan looks a lot different than that graph, so you can rule that out.
so it must be either arcsin(t + 2) or arccos(t+2)
We know that arcsins range is [-pi/2,pi/2]
and arccos range is [0,pi]
which leaves us with 2. arccos(t+2)
OpenStudy (anonymous):
it would be 1?
OpenStudy (slaaibak):
yeah ! You are owning this!
OpenStudy (anonymous):
haha i have one that i really dont understand
OpenStudy (anonymous):
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OpenStudy (slaaibak):
which one do you struggle with?
OpenStudy (anonymous):
OpenStudy (slaaibak):
a, b or c?
OpenStudy (anonymous):
all of them actually
OpenStudy (anonymous):
well not a
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OpenStudy (slaaibak):
do you know the Pythagoras theorem?
OpenStudy (anonymous):
yeah i use that for a right?
OpenStudy (slaaibak):
ah cool. what did you get for a?
OpenStudy (anonymous):
21
OpenStudy (slaaibak):
Cool, that's correct. Now for b and c:
You have to use the cosine law for b.
Do you know the formula?
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