Question

The equation of normal to the curve \( y = (1 + x) + \sin^{-1}(\sin x) \) at \( x = 0 \) is?

• A. \( x - y = 1 \)
• B. \( x + y = 1 \)
• C. \( x - y = -1 \)
• D. \( x = y \)

Hint:

To find the equation of the normal, first find the slope of the tangent and use the negative reciprocal for the normal's slope.

Answer 1

The Correct Option is A

The normal equation at a point on a curve can be derived by finding the slope of the curve at that point and using the point-slope form of the line. The equation at \( x = 0 \) is calculated as \( x - y = 1 \).