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Mathematics 8 Online
OpenStudy (anonymous):

I am hopelessly confused. Can someone please help me with Trig? What's the value of n?

OpenStudy (anonymous):

OpenStudy (alyssa_xo):

use a trigonometric relationship

OpenStudy (alyssa_xo):

for example sin=opposite/hypotenuse

OpenStudy (anonymous):

I tried that, and if I did it even remotely correct it didn't match any of the answers.

OpenStudy (alyssa_xo):

show me what you set up and put into your claculator

OpenStudy (anonymous):

For sin I didn't know if I should have put 90 or not but I did...sin(90) After that though nothing matched and I just don't understand it at all. For opposite and hypotenuse I do know would be 5 and 10 correct?

OpenStudy (alyssa_xo):

we're trying to find the value of angle n

OpenStudy (anonymous):

I know, but how would I want to set that up then? I watched videos my teacher had on her message board but it was entirely different.

OpenStudy (alyssa_xo):

what would sin(angle n) be?

OpenStudy (alyssa_xo):

keep in mind the sin of any angle is the side opposite over the hypotenuse

OpenStudy (anonymous):

Would I set it up sin(5/10) then? I got .48

OpenStudy (alyssa_xo):

you're supposed to be using arcsin

OpenStudy (alyssa_xo):

or inverse sin

OpenStudy (alyssa_xo):

\(\sin(n)=\dfrac{5\sqrt3}{10}\\arcsin(sin(n))=arcsin(\dfrac{5\sqrt3}{10})\\n=arcsin(\dfrac{5\sqrt3}{10})\)

OpenStudy (anonymous):

If I calculate that I get like 1/10 but my options are 1/2 squareroot 3/3 square root 3/2 and square root 3

OpenStudy (alyssa_xo):

can you post the full question? does it ask for n or N?

OpenStudy (alyssa_xo):

cause I'm getting <N=pi/3

OpenStudy (alyssa_xo):

or 60 degrees

OpenStudy (anonymous):

It is asking in the questions, what is the value of Sin N?

OpenStudy (alyssa_xo):

oh, it's just \(\dfrac{5\sqrt3}{10}\) can you simplify that fraction?

OpenStudy (anonymous):

I got .069

OpenStudy (alyssa_xo):

don't just enter it into your calculator there's a basic reduction that can be done we want to keep it in terms of the radical 3

OpenStudy (alyssa_xo):

I guess it'd be easier to see if I rewrite it. \(\dfrac{5\sqrt3}{10}=\dfrac{5}{10}*\sqrt3\)

OpenStudy (anonymous):

radical 3/2?

OpenStudy (alyssa_xo):

aye aye

OpenStudy (anonymous):

Thanks! In one question though it gave me the lengths of the sides but is asking me to find the degree of an angle. It is a right angle was there any special way to go about that at all or just go by what you showed me how to do?

OpenStudy (alyssa_xo):

you can either use inverse trig functions or side ratios for example, if it's a 45-45-90 triangle and you have 1 side, you can figure out the others' same if it's a 30-60-90

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