Respuesta :

proxy4
 2π/T = 2π/10 = π/5 

y(x) = A sin (wx) = 0.75 sin (πx/5) 

y(4) = 0.75 sin (4π/5) = 0.4408389392... ≈ 0.441

Answer:

y(4) = -0.606    

Explanation:

Given that,

The amplitude of cosine function, A = 0.75

Time period, T = 10

The cosine function is given by :

[tex]y=A\ cos(\omega t)[/tex]

Since, [tex]\omega=\dfrac{2\pi}{T}[/tex]

[tex]y=A\ cos(\dfrac{2\pi}{T}t)[/tex]  

[tex]y=0.75\ cos(\dfrac{2\pi}{10}t)[/tex]      

We need to find y (4). Put t = 4 in above equation as :

[tex]y(4)=0.75\ cos(\dfrac{2\pi}{10}\times 4)[/tex]  

y(4) = -0.606       

Hence, this is the required solution.