Page 96 - Math SL HB Sem 1

CIRCULAR FUNCTIONS AND TRIGONOMETRY

THE CIRCULARFUNCTIONS SIN X, COSX,TAN X

(l) f(d) =sind

I

The above graph olthe sine function has the following characteristics:

(a) It is continuous (i.e. it has no sudden changes in position).
The domain is

(b) It lics entircly within the range - I < sin , < I I
T'hc range is

(c) The shape ofthe graph from d :0 to 0 : 2 r is repeated for each

complete revolution. Such a function is said to be periodic or cyclic. The width of
th,e repefting pattem, as measured on the horizontal axis, is called the period.
Thus (d)-sin d is a periodic function with a period of ............,

(d) The maximum value is -.... andtheminimumvalueis.......
A graph of this shape, for obvious reasons, is knovwr as a sine wave

(e) The greatest value of sin dl is called the amplitude of the sine wave and its
I
valuc is

4-1,2