Question

y=8 cos 3x, for x in [0,pi/3] solve fro x where x is restricted to the given interval. options are x=1/8accosy/3 x=1/3accosy/8 x=8accosy/3 x=3accosy/8

Answer 1

To solve the equation y = 8 cos 3x for x in [0,π/3], we can use the inverse cosine function to find the values of x that satisfy the equation within the given interval.

Step-by-step explanation:

To solve the equation y = 8 cos 3x for x in [0,π/3], we need to find the values of x that satisfy the equation within this interval. We can start by isolating the cosine term:

cos 3x = y/8

Next, we can take the inverse cosine of both sides to solve for x:

3x = acos(y/8)

x = (1/3)acos(y/8)

Therefore, the correct option is x = (1/3)acos(y/8).