The amplitude is 4 .
'Y' varies between -4 and +4. Viewed as a wave, its amplitude is 4.
4
The amplitude of the function ( y = 3 \sin(4x) ) is 3, which is the coefficient in front of the sine function. The period can be found using the formula ( \frac{2\pi}{b} ), where ( b ) is the coefficient of ( x ); in this case, ( b = 4 ). Therefore, the period is ( \frac{2\pi}{4} = \frac{\pi}{2} ).
sin(pi) = 0 so 4*sin(pi) = 0 so Y = 0
cos A=3/5 sin=square root of (1-cos2) sin=square root of (1-3/52) sin=square root of (1-9/25) sin=square root of (16/25) sin=4/5 csc=1/sin csc=1/(4/5) csc=5/4
'Y' varies between -4 and +4. Viewed as a wave, its amplitude is 4.
4
The amplitude of the function ( y = 3 \sin(4x) ) is 3, which is the coefficient in front of the sine function. The period can be found using the formula ( \frac{2\pi}{b} ), where ( b ) is the coefficient of ( x ); in this case, ( b = 4 ). Therefore, the period is ( \frac{2\pi}{4} = \frac{\pi}{2} ).
sin(pi) = 0 so 4*sin(pi) = 0 so Y = 0
y = -1 + 3 sin 4xLet's look at the equation of y = 3 sin 4x, which is of the form y = A sin Bx, wherethe amplitude = |A|, and the period = (2pi)/B.So that the amplitude of the graph of y = 3 sin 4x is |3| = 3, which tell us that the maximum value of y is 3 and the minimum value is -3, and the period is (2pi)/4 = pi/2, which tell us that each cycle is completed in pi/2 radians.The graph of y = -1 + 3 sin 4x has the same amplitude and period as y = 3 sin 4x, and translates the graph of y = 3 sin 4x one unit down, so that the maximum value of y becomes 2 and the minimum value becomes -4.
x = sin-1 (4/15) ( sin -1 is [SHIFT] [sin] on a calculator ) = 15.5
it equals 4
0.5
Cos (x) = -Sin(x) 1 = -Sin(x) / Cos (x) 1 = -Tan(x) Tan(x) = -1 x = Tan^-1(-1( x = -45 degrees = - pi /4 , 3pi/4, 5pi/4 ....
cos A=3/5 sin=square root of (1-cos2) sin=square root of (1-3/52) sin=square root of (1-9/25) sin=square root of (16/25) sin=4/5 csc=1/sin csc=1/(4/5) csc=5/4
The expression (\sin(3\alpha)) can be expanded using the triple angle formula for sine, which is (\sin(3\alpha) = 3\sin(\alpha) - 4\sin^3(\alpha)). This formula allows you to express (\sin(3\alpha)) in terms of (\sin(\alpha)).
0.75