The angle to the given by x = e ^(theta)...

The angle to the given by `x = e ^(theta) cos theta, y = e ^(theta) sin theta ` at `theta = ( pi)/(4)` makes an angle with X-axis is___

A

`pi/2`

B

0

C

`pi/3`

D

`pi/4`

Verified by Experts

Similar Questions

Explore conceptually related problems

Find the slope of the normal to the curve x = a cos^(3)theta, y=a sin^(3)theta at theta = (pi)/(4) .

Show that (1)/( cos theta ) -cos theta =tan theta .sin theta

Find (dy)/(dx) : x=a sin^(2) theta cos theta, y= 2b cos^(2) theta (-sin theta)

The length of normal to the curve x=a(theta+sin theta), y=a(1-cos theta), at theta=(pi)/(2) is

Find (dy)/(dx) , if x = a cos theta, y= a sin theta

If sin^(100) theta - cos^(100) theta =1 , then theta is

If tan(pi cos theta )= cot (pi sin theta ) ,then cos^(2)(theta -pi//4) is equal to

If f (theta) = |sin theta| + |cos theta|, theta in R , then