# Trigonometry help

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#1
So I will be holding a college test soon and I came across something Im not sure what to do with.
Basically Ive got some random triangle for which I know sin α/sin β = √2/2.
And the question is which of the statements are proper for this triangle.
a=2b, a=√2.b, a=1/2b or a=(√2/2)b
I have no idea where to start with this. I dont need the answer I prefer the explanation. I tried with law of sines but cant do a thing. Thanks in advance
0
3 years ago
#2
Does multiplying by sin B not work for you?

That will lead you one way or another ;P
0
3 years ago
#3
(Original post by jakrey97)
So I will be holding a college test soon and I came across something Im not sure what to do with.
Basically Ive got some random triangle for which I know sin α/sin β = √2/2.
And the question is which of the statements are proper for this triangle.
a=2b, a=√2.b, a=1/2b or a=(√2/2)b
I have no idea where to start with this. I dont need the answer I prefer the explanation. I tried with law of sines but cant do a thing. Thanks in advance
To start with, a is assumed to be the length of the side opposite angle α and b is assumed to be the length of the side opposite angle β. The sine rule then tells us that:

a / sin α = b / sin β

You can rearrange that to

sin α / sin β = a / b

You should now be able to relate the rearranged sine rule expression to the information given in the question.
1
3 years ago
#4
(Original post by old_engineer)
To start with, a is assumed to be the length of the side opposite angle α and b is assumed to be the length of the side opposite angle β. The sine rule then tells us that:

a / sin α = b / sin β

You can rearrange that to

sin α / sin β = a / b

You should now be able to relate the rearranged sine rule expression to the information given in the question.
not able to be sine rule'd .... unless i'm missing the buck here
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