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)=x2 symmetric with respect to the y-axis? Is the function f(x)=x2 symmetric with respect to the x-axis? Is the function f(x)=x3 symmetric with respect to the y-axis? What is the line of symmetry for f(x)=x4? Is the graph of the function f(x)=2x symmetric? Is f(x)=x2+sinx an even or odd function? See all questions in Symmetry Impact of this question 1673 views around the world You can reuse this answer Creative Commons License