Question

Find the area enclosed by the curve defined by the polar equation r = sin θ sin(4θ). How can I find the angle required?

Answer 1

The area that is enclosed by the curve defined by the polar equation r = sin θ sin(4θ). can be solved by using the formula of A=$\frac{1}{2}$ ∫[f(θ)]²dθ.

How do you find the area enclosed by a polar curve?

Note also that this all given polar function can be evaluated from a limit 0 to  2 π.

First we sketch the polar curve which is r=sin4θ

Then Derive a Polar Curve where:

r = x² + y²

tan⁻¹$\frac{y}{x}$

The graph for  r=sin4θ is given in the image attached.

Learn more about polar curve from

brainly.com/question/9363127

#SPJ1