We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
127
2
avatar

What is the domain of y=tan1 / 2   θ ?
a. all real numbers
d. all real numbers except nπ , where n is an odd integer.

 Jan 17, 2019
 #1
avatar+19326 
0

Tan = sin / cos      we cannot have cos = 0   (denominator cannot = 0)

      cos = 0 at  odd multiples of pi/2      1/2 theta cannot equal on odd  multiple of pi/2

 

So  all theta not equal to odd numbers of pi     ( pi  3 pi     5 pi etc )

 Jan 17, 2019
edited by ElectricPavlov  Jan 17, 2019
 #2
avatar+103948 
+2

tan  A    will be undefned at   pi/2  +  n * pi

 

So    let  A  =    θ/2

 

So      θ /2  =  pi /2  +  n* pi        multiply through by 2

 

So      θ  =   pi  + n*2pi

 

So.....it will  be defined at all real numbers except    pi  +  2pi * n

 

So.... "d"  is correct...

 

cool cool cool

 Jan 17, 2019

12 Online Users

avatar
avatar
avatar
avatar