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Mathematics 18 Online
OpenStudy (anonymous):

helppp

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

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?

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):

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):

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

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?

OpenStudy (slaaibak):

http://en.wikipedia.org/wiki/Law_of_cosines

OpenStudy (anonymous):

i did sin of A so 15/26 and i got a decimal

OpenStudy (slaaibak):

What angle did you use though?

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