Generally the function f (x) = sinx defined for each x ∈ R
ie the function sine has the domain R
the whole of the function y = -2 sin pi x is [-2, 2], which means that it has minimum and maximum 2 -2
This function also is redundant ie f (-x) = - sin pi x
Because it has pi x
generally if a real number x that verifies the equation sin x = y with -1 <y <1 then apply
sin x = y <=> x = 2 kpi + x or x = 2k pi + (pi-x)
Example To solve the equation sin x = 1/2 is first a corner on the interval [a, 2 pi] which has sine 1/2
We know that 1/2 = sin pi / 6 so we
sin x = 1/2 <=> x = 2 x pi + pi / 6 or
x = 2 x pi + (pi-pi / 6) = 2 k pi +5 pi / 6 with k belongs to Z
The trgonometria requires much reading but rather to solve exercises
