How do I find the zeros and asymptotes for these two trig. functions? :)

1) y=2cot(3x)

2) y=csc(-1/2 (x))

Question

How do I find the zeros and asymptotes for these two trig. functions? :)

1) y=2cot(3x)

2) y=csc(-1/2 (x))

tkhunny · Answer

You may wish to find zeros and asymptotes of the more familiar reciprocal functions.

anonymous · Answer

I don't understand what you mean, sorry. please explain

tkhunny · Answer

$y = \cos(x)$  This has zeros at $\pi/2 + k\pi$ for integer values of $k$.
$y = \cos(x)$  Has no asymptote.

Keeping all that in mind, what can we say of $y = \sec(x)$?

$y = \sec(x)$  This has asymptotes at $\pi/2 + k\pi$ for integer values of $k$.
$y = \sec(x)$  Has no zero.

anonymous · Answer

thank you. one more question. What is K?

tkhunny · Answer

It is explained, above.  Any integer value.