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anonymous
 4 years ago
For what numbers theta is f(theta)=tan(theta) not defined? f(theta)=tan(theta) is not defined for numbers that are (even multiples, odd multiples, multiples) of (45*, 90*, 180*). Select an answer from each set of parentheses.
anonymous
 4 years ago
For what numbers theta is f(theta)=tan(theta) not defined? f(theta)=tan(theta) is not defined for numbers that are (even multiples, odd multiples, multiples) of (45*, 90*, 180*). Select an answer from each set of parentheses.

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The answer is multiples of 90*. Correct?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Not quite. 0 is a multiple of 90 and tan(0)=0

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I'm having a hard time understanding this question.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Okay, note that \[\tan \theta = \frac{\sin \theta}{\cos \theta}\] Fractions are undefined when their denominator is zero. So when does this occur?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0When cos(theta)=(pi/2)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0There are an infinite number of points where cos(theta)=0, One of them is 90 degrees (or pi/2), what are the others? There is one more under 2pi, and that should be enough to show you the pattern and give you the answer. Consider what cos looks like on the unit circle.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Okay, cos(theta)=0 when theta is \[\cdots,\frac{3\pi}{2},\frac{\pi}{2},\frac{\pi}{2},\frac{3\pi}{2}, \cdots\] or \[\cdots, 270, 90, 90, 270, \cdots\] So the answer is odd multiples of 90 degrees.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thanks for taking the time to explain
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