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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
Solution
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
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