SOLUTION: For which of the following values of x is cos x/sin x not defined? A) Pi/2 B) Pi/3 C) Pi/4 D) Pi/6 E) 0 ???

Question 316565: For which of the following values of x is cos x/sin x not defined?
A) Pi/2 B) Pi/3 C) Pi/4 D) Pi/6 E) 0 ???
Found 2 solutions by Fombitz, CharlesG2:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
When the denominator equals zero.
at and .
E) is the correct answer.
Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
For which of the following values of x is cos x/sin x not defined?
A) Pi/2 B) Pi/3 C) Pi/4 D) Pi/6 E) 0 ???
cos x = adj/hyp
sin x = opp/hyp
tan x = opp/adj
(cos x)/(sin x) = adj/hyp * hyp/opp = adj/opp = 1/(tan x)
(cos x)/(sin x) is not defined if tan x = 0
tan x = 0, solve for x, use radians
arctan(0) = x, x = 0
answer is E) 0

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