Mathematics
9 Online
OpenStudy (anonymous):
Help on trig. find the number of distinct solutions.
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OpenStudy (akashdeepdeb):
Can you, maybe, redraw the figure?
OpenStudy (anonymous):
What do you mean like in what way?
OpenStudy (akashdeepdeb):
Oh, now I see it. I think something is malfunctioning on OS. Alright let me see.
OpenStudy (anonymous):
ok haha
OpenStudy (akashdeepdeb):
So what do you have to find here?
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OpenStudy (anonymous):
Just if it has 1,2 or 3 solutions or is it no solution
OpenStudy (anonymous):
2
OpenStudy (anonymous):
Why @sourwing
OpenStudy (anonymous):
what's sin(28)15?
OpenStudy (anonymous):
7.042
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OpenStudy (anonymous):
is that less than 9?
OpenStudy (anonymous):
Yes
OpenStudy (anonymous):
so there are 2
OpenStudy (akashdeepdeb):
I think, @sourwing m you should explain your concept a little better.
OpenStudy (anonymous):
do you know why sin(28)15 < 9 has two solutions?
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OpenStudy (anonymous):
Mmm not really lol
OpenStudy (anonymous):
|dw:1394234884658:dw|
OpenStudy (anonymous):
what do you think sin(28)15 represent?
OpenStudy (anonymous):
The height?
OpenStudy (anonymous):
correct. Now look at the third length, which is 9. 9 > sin(28)15, so how many triangles are possible?
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OpenStudy (anonymous):
Third length?? where is this?
OpenStudy (anonymous):
oh nvm sorry i thought you said "9.9"
OpenStudy (akashdeepdeb):
Do you know the sine law or the sine rule @Kelsey42 ?
OpenStudy (anonymous):
I guess I should not have called it third side. Look at the side that is opposite of the angle
OpenStudy (akashdeepdeb):
I think the answer should be '1'.
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OpenStudy (anonymous):
@AkashdeepDeb no, there's 2
OpenStudy (anonymous):
yeah i do know the law of sines
OpenStudy (anonymous):
so since 9 > sin(28)15 this means???
OpenStudy (anonymous):
good question. how many triangles do you think can be formed?
OpenStudy (akashdeepdeb):
|dw:1394235219363:dw|