SOLUTION: Use reference angles to find the exact value of the expression:
tan negative 7{{{radians}}} over 4
Algebra.Com
Question 333100: Use reference angles to find the exact value of the expression:
tan negative 7 over 4
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You are a little out of whack here. I think you are trying to define the lower case Greek letter 
as meaning radians. Not so. is nothing more than a dimensionless transcendental irrational number representing the ratio of a the circumference of a circle to its diameter. I think you are making the association because angle measures expressed in radians frequently are expressed as some multiple of . This is because a complete circle is measured as 
radians.
Having said all of that, I think you are asking to find the exact value of the expression:
)
So, instead of going 7/8 of the way around the circle clockwise, go 1/8 of the way around counter-clockwise and get to the same place, namely 
.
Then from the unit circle we can see that:
\ =\ \frac{\sqrt{2}}{2})
and
\ =\ \frac{\sqrt{2}}{2})
And since we know that \ =\ \frac{\sin(\varphi)}{\cos(\varphi))
We can see that
\ =\ \tan\left(-\frac{7\pi}{4}\right)\ =\ 1)
John
My calculator said it, I believe it, that settles it
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