# Question #342c3

##### 1 Answer

Aug 21, 2017

Please see below.

#### Explanation:

has no horizontal asymptottes. (There is no limit as

and has vertical asymptotes where the denominator is

**If we are working in degrees**

#cos(4x-20^@) = 0#

#4x-20^@=90^@+k180^@# for integer#k#

#4x = 110^@+k180^@# for integer#k#

#x = 22.5^@+k45^@# for integer#k#

The graph has vertical asymptotes at

**If we are working in radians or in real numbers**

#cos(4x-20) = 0#

#4x-20=pi^@+k2pi^@# for integer#k#

#4x =(pi+20)+k2pi# for integer#k#

#x = pi/4+5++kpi/4# for integer#k#

The graph has vertical asymptotes at