It is an increasing odd function.
Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function.
Yes
Yes.
yes
It is an increasing odd function.
Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function.
I find it convenient to express other trigonometric functions in terms of sine and cosine - that tends to simplify things. The secant function is even because it is the reciprocal of the cosine function, which is even. The tangent function is the sine divided by the cosine - an odd function divided by an even function. Therefore it is odd. The cosecant is the reciprocal of an odd function, so it is naturally also an odd function.
Yes
An even function is a function that creates symmetry across the y-axis. An odd function is a function that creates origin symmetry.
both
An even function is symmetric about the y-axis. An odd function is anti-symmetric.
An odd function f(x) is one that satisfies the identity f(-x) = -f(x).
Odd Function
Yes.
yes
I have no idea about the signam function.The signum function is odd because sgn(-x) = -sgn(x).