The domain is all real numbers
2006-09-13 18:46:15 · 5 answers · asked by calcetin75 1 in Science & Mathematics ➔ Mathematics
sin a = sin(2pi+a)
put a = x/2
sin(x) = sin((x+4pi)/2)
so period is 4 pi
the maximum value is 2 *1 so amplitude is 2
2006-09-13 18:50:11 · answer #1 · answered by Mein Hoon Na 7 · 0⤊ 0⤋
The amplitude is the coefficient (-2 in this case). However, amplitude is always positive, so the amplitude is 2.
To find the period, take 2*pi*x / (what's in the parentheses)
So 2*pi*x / (x/2) = 2*pi*2 = 4pi
2006-09-14 01:51:48 · answer #2 · answered by Aaron 2 · 0⤊ 0⤋
Amplitude is always the absolute value of the coefficient in front of the sin/cos term
amplitute = |-2|= 2
The period is always 2pi/(b) where b is the coefficient in front of the x or t (as commonly used in engineering and physics) term
period = 2pi/(1/2)=2*2pi=4pi
QED
2006-09-14 03:04:47 · answer #3 · answered by priestlake22 2 · 0⤊ 0⤋
The period of sin(a) is a = 2*pi, So (x/2) = 2*pi. or x = 4*pi
The amplitude of A*sin(a) is |A|, so the amplitude is 2
2006-09-14 01:53:43 · answer #4 · answered by gp4rts 7 · 0⤊ 0⤋
to make it clear for you
if X = 0 degree, then Y = 0
X = 180 degree , then Y = -2
X = -180 degree, then Y = 2
the minimum value is -2
the maximum is 2
the amplitude is 360 degrees (from -180 to 180 degrees) or 4 pi
2006-09-14 02:24:14 · answer #5 · answered by ooowen 3 · 0⤊ 0⤋