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do you remember your unit circle?

yea

So do you remember that when we have sine of an angle, it can have two values?

yea you minus 30 180
yea I know that but visually I just can't imagine it in this triangle

30 minus from 180

wait so what I'm understanding from this that sum of angle ABC and ACB is 150??

*don't know

|dw:1434892581440:dw|

is this what you're saying..?

This is what's given in my text book
ofc I didn't understand it first but after some while I pictured it to be in that way as you drew in the unit circle diagram. The thing is trying to put our triangle into this unit cirle
I can't imagine how I'd do that..

lets see
|dw:1434892824826:dw|

uhh.. you mean like this right?
|dw:1434892995285:dw|

oh no nvm, they showed you the formula using area.

I, though, haven't seen the formula using area.

apologize

30 can not be the largest angle of any triangle.
The sum of 3 angles must be 180.

if 30 is the largest, the other 2 angles are less than 30 and
their sum is max 90...

yes
thats correct.
so now label side AC

correct :)
welcome ^_^