Question

If the maximum value of the function y=cosx−m/sinx is at x=π/4 ,what is the value of m?

For this question consider the interval from (0, pi)
o -1
o √2
o 1
o -√2

Answer 1

To find the value of m in the function y=cosx−m/sinx, we differentiate the function, set it equal to 0, and solve for x. We find that x = π/4. Substituting this value into the equation allows us to solve for m, which is -√2. option d is correct answer.

Step-by-step explanation:

To find the value of m, we need to differentiate the function y=cosx−m/sinx and set it equal to 0 to find the critical points.

Taking the derivative of y, we get dy/dx = -sinx + mcosx/sinx^2. Setting this equal to 0 and solving for x, we find that x = π/4 or x = 5π/4. Since the maximum value is at x = π/4, we can substitute this value into the original equation to solve for m. Therefore, the value of m is -√2.