Answer
(a) even × odd = odd
(b) odd × odd = even
(c) even + odd is neither
(d) odd × odd = even
Work Step by Step
(a) $x^2$ is even whiles $sin(x)$ is odd
even multiplying odd is odd, hence the function is odd
(b) $1$ is odd whiles $sin^2x$ is odd
odd multiplying odd is even, hence the function is even
(c) $x$ is even whiles $x2$ is odd
even added to odd niether gives even or odd, hence the function is neither even or odd
(a) $sin(x)$ is odd whiles $tan(x)$ is also odd
odd multiplying odd gives even, hence the function is even
