Question

The radius of curvature of y=sinx at(x,y)

Answer 1

Step-by-step explanation:

Explanation:

Radius of curvature at a point on function

y

=

f

(

x

)

is given by

R

=

[

1

+

y

'

2

]

3

2

y

'

'

For

y

=

sin

x

,

y

'

=

cos

x

and

y

'

'

=

−

sin

x

Hence radius of curvature is

[

1

+

cos

2

x

]

3

2

−

sin

x

and at

x

=

π

2

,

R

=

[

1

+

0

]

3

2

−

1

=

1

−

1

=

−

1