Are the functions :
(i) f(x) = cosx
(ii) f(x) sinx
even functions or odd functions and why?
(i) The function f(x) = cos(x) is an even function. This is because cos(x) is symmetric about the y-axis. In other words, cos(-x) = cos(x) for all x, which is the defining property of an even function.
(ii) The function f(x) = sin(x) is an odd function. This is because sin(x) is symmetric about the origin. In other words, sin(-x) = -sin(x) for all x, which is the defining property of an odd function.