Q. 144.6( 9 Votes )
Find the equations of the tangent and normal to the given curves at the indicated points:
x = cos t, y = sin t at t=π/4
Answer :
It is given that equation of curve is x = cost, y = sint
On differentiating with respect to x, we get
Therefore, the slope of the tangent at 
) is -1.
When 
Then, the equation of the tangent is 
is
y – 
= -1(x – 
)
⇒ x + y -
-
= 0
⇒ x + y -
= 0
Then, slope of normal at 
=
Now, equation of the normal at 
y – 
= 1(x –
)
⇒ x = y
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