SOLUTION: Use reference angles to find the exact value of the expression: tan negative 7{{{radians}}} over 4

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Question 333100: Use reference angles to find the exact value of the expression:
tan negative 7radians over 4

Answer by solver91311(24713) About Me  (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:



and





And since we know that

We can see that



John

My calculator said it, I believe it, that settles it