Verified Answer :

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 :

\(y=A\ cos(\omega t)\)

Since, \(\omega=\dfrac{2\pi}{T}\)

\(y=A\ cos(\dfrac{2\pi}{T}t)\)  

\(y=0.75\ cos(\dfrac{2\pi}{10}t)\)      

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

\(y(4)=0.75\ cos(\dfrac{2\pi}{10}\times 4)\)  

y(4) = -0.606       

Hence, this is the required solution.