Answer
a) Even functions are those such that f(x) = f(-x). Odd functions are those such that f(-x) = -f(x).
b) sin(x), tan(x), csc(x), cot(x) = odd, cos(x), sec(x) = even
c) -0.4
d) 0.7
Work Step by Step
a) Definitions of even/odd functions
b) Since cos(x) = cos(-x), its reciprocal function sec(x) must have the same property, so cos(x) and sec(x) are even. Since sin(-x) = -sin(x) and tan(-x) = -tan(x), their reciprocal functions csc(x) and cot(x) must have the same property, so sin(x), tan(x), csc(x), and cot(x) are odd.
c) Since sine is odd, sin(-t) = -sin(t). Given sin(t) = 0.4, sin(-t) = -sin(t) = -0.4.
d) Since cosine is even, cos(s) = cos(-s). Given cos(s) = 0.7, cos(-s) = 0.7
