Question #f03d1
3 Answers
Explanation:
This is because sin of 0 is 0. (On the unit circle, when it's 0 degrees, the point is at 0.)
Tangent is
Since it doesn't directly touch zero, we can try plugging in something extremely small, such as 0.01.
On the top, sin of 0.01 is roughly 0.00999 or 0.01. On the bottom, is 0.01000033, or roughly 0.01.
Explanation:
Given:
Because the expression evaluated at 0 yields the indeterminate form,
This expression can be evaluated at the 0:
L'Hôpital's rule states that, as goes the above limit, so goes the original limit:
# = 1/(theta/(sintheta)+1/costheta)#
Taking limit as
# = 1/(1+1/1) = 1/2#