Question #2c359 Precalculus Functions Defined and Notation Symmetry 1 Answer Monzur R. Jun 6, 2017 #sin(-x)# is an odd function Explanation: A function is even iff #f(-x)=f(x)# #sin45!=sin(-45)# so #sin(-x)# is not even A function is odd iff #f(-x)=-f(x)# #sin45=-sin(-45)# therefore #sin(-x)# is odd Answer link Related questions What functions have symmetric graphs? What are some examples of a symmetric function? What is a line of symmetry? What is rotational symmetry? Is the function #f(x) = x^2# symmetric with respect to the y-axis? Is the function #f(x) = x^2# symmetric with respect to the x-axis? Is the function #f(x) = x^3# symmetric with respect to the y-axis? What is the line of symmetry for #f(x) = x^4#? Is the graph of the function #f(x) = 2^x# symmetric? Is #f(x)=x^2+sin x# an even or odd function? See all questions in Symmetry Impact of this question 1463 views around the world You can reuse this answer Creative Commons License