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Earn +20 ptsQ: Is tangent ever undefined
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Where is tangent undefined?
-pi/2 and pi/2
How does the tangent function relate to sine and cosine?
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
Why is tangent 180 degrees undefined?
It's not. The tangent of 180 degrees is zero. Consider tan(x) = sin(x)/cos(x). When x = 180 degrees, sin(x) = 0 and cos(x) = -1 and so tan(x) = 0
Why is the tangent of 90 degrees undefined?
tan(x) = sin(x) /cos(x).When x = 90 degrees then cos(x) = 0 so tan(x) requires division by zero - which is not defined.
What is a common tangent?
A common tangent is a line which is tangent to two (or more) curves.
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