Find the equation of the tangent line to y=sin(x)y = \sin(x)y=sin(x) at x=π4x = \frac{\pi}{4}x=4π.
y=x+22y = x + \frac{\sqrt{2}}{2}y=x+22
y=−22(x−π4)+22y = -\frac{\sqrt{2}}{2}(x - \frac{\pi}{4}) + \frac{\sqrt{2}}{2}y=−22(x−4π)+22
y=22x+22y = \frac{\sqrt{2}}{2}x + \frac{\sqrt{2}}{2}y=22x+22
y=22(x−π4)+22y = \frac{\sqrt{2}}{2}(x - \frac{\pi}{4}) + \frac{\sqrt{2}}{2}y=22(x−4π)+22