In high-performing transformational healthcare organizations (HCOs), accountability is achieved through a combination of clear leadership, defined roles, and measurable performance metrics. Leaders foster a culture of transparency and open communication, encouraging team members to take ownership of their responsibilities. Regular evaluations and feedback mechanisms ensure that individuals and teams are held accountable for their contributions to organizational goals. Additionally, alignment of incentives with desired outcomes reinforces accountability at all levels.
Looking on your HCOS page.... instead of here.
Question: Sin x + Cos x = 1 ; Solve for x.Sin x + Cos x = 1 //Original Question[Sin x + Cos x]2 = [1]2 //Square both sidesSin2 x + 2 Sin x Cos x + Cos2 x = 1 // Expand.1 + 2 Sin x Cos x = 1 //Note that sin2 x + cos2 x = 1 from the trigonometry identities. Look for proof below.2 Sin x Cos x = 0 // Subtract 1 from both sidesSo either1) Sin x = 0Looking at the unit circle, then this means x = 180ko where k E I2) Cos x = 0Looking at the unit circle, then this means x = 90 + 180k where k E I3) 2 = 0No solutions for this case.*************************************** So that's all x for which Sin x + Cos x = 1. ***************************************Proof for Identity used to solve this question:Sin2 x + Cos2 x = 1Imagine a right-angled triangle with an angle x and sides (A adjacent, O opposite, H hypotenuse):_____.____..._H_.....__....... O_...........x.......AThen you know from the Pythagorean Theorem that A2 + O2 = H2You also know from the definition of Cos and Sin that:Sin x = O / HCos x = A / HNow take the sum of the squares of both.Sin2 x + Cos2 x= [O / H]2 + [A / H]2= O2 / H2 + A2 / H2= ( O2 + A2 ) / H2= ( H2 ) / H2= 1Q.E.D.That's it.Good Luck!