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Are the trigonometric functions odd, even, or neither odd nor even? Select answers from the drop-down menus to correctly complete the statements.

The function f(x)=cos x is____ . The function f(x)=csc x is _____.

  • odd
  • even
  • neither odd or even
 Feb 20, 2020
 #1
avatar+111433 
+1

The cosine  function is  even because it is symmetric with the  y  axis

See the graph here : https://www.desmos.com/calculator/1w8wnljmgc

 

 

For  an odd function  we  must have that

 

f(-x) = -f(x)

 

So....notice for instance that

 

csc(-pi/2)  =  -1   =   -csc (pi/2)

 

So....

 

csc (x) is odd

 

 

cool cool cool

 Feb 20, 2020
 #2
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would f(x)=cos x be even?

Guest Feb 20, 2020
 #3
avatar+111433 
0

Yep....cos(x) is even....

 

 

 

cool cool cool

CPhill  Feb 21, 2020

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