Determin the value(s) of angle x, 0

Question

Determin the value(s) of angle x, 0<x<360
a) sinx = -(1/√2)
b) √3/2

kkutie7 · Answer

Ah I found you! =)

kkutie7 · Answer

ok so lets start with a)
$$Sin(x)=-(\frac{1}{\sqrt{2}})$$
Sin on a graph can be thought of a the y coordinate 
when is y negative?

kkutie7 · Answer

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we can see that in quadrant 3 and 4 are where y is negative.

kkutie7 · Answer

note: above will come in hand later but not too much of a deal right now
you wanna think of a triangle. there are two different ones but for this one we will always use this triangle.
|dw:1409804601975:dw|

kkutie7 · Answer

sin= opposite over hypotenuse .
so either 45 degrees will work.

kkutie7 · Answer

its hard to say with b) because we don't have a sin cos or tan.
but for 
$$\frac{\sqrt{3}}{2}$$ you will need to use another triangle.
this one.
|dw:1409804888012:dw|

kkutie7 · Answer

so Sin(60) will work or Cos(30)

kkutie7 · Answer

here is a cheat sheet for when you get stuck. sin=y and cos=x http://etc.usf.edu/clipart/43200/43216/unit-circle8_43216_lg.gif

zahrakkhan · Answer

Thank you so much. :)

kkutie7 · Answer

any time. I hope this makes sense

zahrakkhan · Answer

yes, its a bit confusing but when i copy it down it'll probably make more sense

kkutie7 · Answer

ask any questions if you need to. memorize those two triangles because they will come in hand to do things quickly

zahrakkhan · Answer

Okay, Thanks again

kkutie7 · Answer

I just remembered why I put the quadrant in there. The degree is going to bigger that 180. So 180 +45 for one of them and 360-45 for the other. Sorry about that.