Question

Maximum value of the function xy on the unit circle centered at origin occurs at:​

Answer 1

Answer:

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Answer 2

Answer:

Maximum value is 0.5.

Concept:

General point on a general point on a unit circle centered at origin can be given as (cos$\alpha$,sin$\alpha$)

Step-by-step explanation:

Function f is defined as

                               f=xy

For the maximum value of F for which x and y are the co-ordinates on circle,

                               f= (cos $\alpha$)(sin $\alpha$)

As we know,

                              sin $2\alpha$ = 2(sin $\alpha$)(cos $\alpha$)

So, we can solving the equation in the function, we can write

                               f= (0.5)(sin $2\alpha$)

Now we can see that the function f will be maximum when $\alpha$ is equal to 45 degree.

Therefore the maximum value of the function xy on the unit circle  is 0.5.