Question

The equation of the normal to the curve y = sinx at (0, 0) is ______.

Options

• x = 0

• y = 0

• x + y = 0

• x – y = 0

Answer 1

The equation of the normal to the curve y = sinx at (0, 0) is x + y = 0.

Explanation:

`"dy"/"dx"` = cosx.

Therefore, slope of normal = `((-1)/cosx)_(x = 0)`

= –1.

Hence the equation of normal is y – 0 = –1(x – 0) or x + y = 0