The perimeter of a trapezium is given by P = 28 + 4(sin x - cos x)
Express 4(sin x - cos x) in the form R sin( x - (X)), find the maximum value of P and corresponding value of x.
I got sq.rt 32 sin (x - 45). For maximum value I got 28 + sqrt. 32 = 33.7cm and corresponding value of x is 135 deg. But my answer sheet is 28 for maximum value and 45 deg for corresponding angle.
Please help check, and thanks.
28 is the minimum value. And the corresponding value of x happen to be 45 degree.
28+sqrt(32) is the maximum value depending on whether the angle x can be 135 degree or not.
So it probably is a typo. Is there a diagram or additional info?