http://www.nationmaster.com/encyclopedia/Jacobi's-elliptic-functions have a look at this
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sin and cos functions are complementary..they vary by an angle of 90deg in their graph.. so thts wht i think it is..complementary functions are probably functions whch differ by an angle of 90 i their graph..
If for every point on the horizontal axis, the graph has one and only one point corresponding to the vertical axis; then it represents a function. Functions can not have discontinuities along the horizontal axis. Functions must return unambiguous deterministic results.
The graph of y = log(x) is defined only for x>0. The graph is a monotonic increasing function over its domain. It starts from an asymptotic "minus infinity" when x approaches 0. It passes through the value y = 0 when x = 1. The graph is illustrated at the link below.
Period is how long it takes for the sine and cosine functions to restart repeating themselves. Both have a period of 2pi (360 degrees).
There are several ways to look at it.... The peak amplitude of the functions y = sin(x) and y = cos(x) is 1. The peak-to-peak amplitude of the functions is 2. The RMS (root mean square) amplitude of the functions is the reciprocal of the square root of two (2-½ ≈ 0.707).