(Solved): 1.7 Find the equation of the tangent line to the curve \( \sin x+\cos y=1 \) at the point \( \left( ...

1.7 Find the equation of the tangent line to the curve \( \sin x+\cos y=1 \) at the point \( \left(\frac{\pi}{2}, \frac{\pi}{2}\right) \) [2] A. \( y-\frac{\pi}{2}=4\left(x-\frac{\pi}{2}\right) \) B. \( y=\frac{\pi}{2} \) C. \( y-\frac{\pi}{2}=\left(x-\frac{\pi}{2}\right) \)