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Mathematics 14 Online
OpenStudy (anonymous):

Help finding exact values.

OpenStudy (anonymous):

Find an exact value. sin 75°

OpenStudy (anonymous):

\[\frac{ \sqrt{6}+\sqrt{2} }{ 4 }\] Is this right?

OpenStudy (zehanz):

How did you do it?

OpenStudy (zehanz):

It is right, but what kind of help are you looking for?

OpenStudy (anonymous):

I do not know how to do it, but looking at a unit circle that seemed correct with where the angle should be. I want to know what equatin to use to get that answer for future use.

OpenStudy (zehanz):

Do you know the formula: sin(a+b)=sin(a)cos(b)+cos(a)sin(b)?

OpenStudy (anonymous):

Like currently I am stuck on Find an exact value. sine of negative eleven pi divided by twelve.\[\sin(-\frac{ 11\pi }{ 12 })\]

OpenStudy (anonymous):

I am not familiar with that equation.

OpenStudy (zehanz):

OK, that makes it a lot more difficult, I guess. sin(-11pi/12)=-sin(11pi/12)=-sin(pi/12)=-sin(15°) Have you been instructed to do these kind of problems in a unit circle?

OpenStudy (anonymous):

yes to find the final answer.

OpenStudy (zehanz):

OK, I'll try to draw one...

OpenStudy (anonymous):

I have a pic in front of me that I drew

OpenStudy (anonymous):

OpenStudy (phi):

I think you try to use "nice numbers" that add or subtract to get 75º 45º + 30º = 75º

OpenStudy (phi):

now use sin(a+b)= sin(a)cos(b) + cos(a) sin(b)

OpenStudy (anonymous):

I already figured that one out. I am working on\[\sin(-\frac{ 11\pi }{ 12 })\]

OpenStudy (phi):

I (for one) switch to degrees first.

OpenStudy (anonymous):

how do I do that?

OpenStudy (phi):

multiply by 180/pi you get -165 degrees that means go clockwise from the x-axis. as a positive angle it is 360-165= 195 degrees so you want to find the sin(15) in the 3rd quadrant

OpenStudy (phi):

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