The equation of tangent line to the curve cos x + sin y =1 at the point (π/2 , π/2) is?

Answer 1

implicit differentiation:

-sinx + cosy (dy/dx) = 0

cos y (dy/dx) = sinx

dy/dx = (sinx)/(cos y)

The slope m= sin(pi/2)/cos(pi/2) = 1/0 is undefined. Therefore the tangent line is vertical.

x = pi/2