For what value of x does 6 sin (2x - 25)o attain its maximum value in the range 0o ? ? x ? ? 180o

For what value of x does 6 sin (2x - 25)o attain its maximum value in the range 0o $?$ x $?$ 180o

Answer Details

The maximum value of the function y = 6sin(2x-25) occurs when the argument of the sine function is equal to 90 degrees (or pi/2 radians), because the maximum value of the sine function is 1. So we need to solve the equation 2x-25 = 90. Adding 25 to both sides gives 2x = 115, and then dividing by 2 gives x = 57.5 degrees. Therefore, the answer is x = 57.5 degrees, which is the value of x where the function 6sin(2x-25) attains its maximum value in the given range.