PreCalculus - Polar Coordinates (14 of 35) Graphing Polar Equations: r=3cos4(theta), Roses

In this video I will graph polar equation r=3cos2(theta), r=3cos4(theta), r=3cos6(theta), r=3cos8(theta), roses.

Next video in the polar coordinates series can be seen at:

[lukephillips]

this channel is so clutch. 2 weeks ago I was watching a video on rotational kinetic energy for physics and now I'm looking at polar coordinates for Specialist maths. Keep up the good work

[Snowfireblues]

Thank you soo much for being thorough in your explanation, and pointing out what part does what. You have no idea how much videos 14-18 have helped me understand the topic. no longer is it a grind on a calculator, inserting random values, until I get the desired result. Thanks to you I have a system with which to plot these roses in under a minute! Not all heroes wear capes Professor, and you are certainly one of those!

[EuphoniousASMR]

Forgot something important. If the number in front of there is odd, the number of leaves is the same as that number. If even, number of petals is 2x that number.

[harmsyamial]

you are a life saver
thank you so much sir

[HMCuber]

Its so much simpler than I thought. Thank you for breaking down the degree measurement.

[morongwamolaba]

Is it a must to plot a table?because you just told us the easiest way to plot this graph

[philogrand]

In principle, the even coefficient of Thetta means the number of small angles (or number of halves of a leaf) in the 1st 90 degrees; therefore, the No of complete leaves in the 1st 90 degrees is those given halves of a leaf divided by 2 (i.e. 6 halves of a leaf in 3 cos(6x) divided by 2 giving us 3 complete leaves) BECAUSE 1 leaf is made up of 2 small angles/2 halves of a leaf. For the whole circle/360 degrees, you then multiply the No of complete leaves in the 1st 90 degrees by 4. Generally, take the coefficient of Thetta times 2 to find the total No of leaves.

[cuprous]

Thanks so much! I like this method a lot better than the one my professor taught us

[MdMizanurRahman-no]

I am from Bangladesh.very nice understanding systems.

[edgarfranco]

Loved it! Very clear and easy to understand. Thank you

[Dylan-hxoo]

OMG, THANK YOU SO MUCH!!!
THIS HELPS ME WITH MY ASSIGNMENT!!!

[hugesman]

Thank you so much your video really helped!!

[iTS_RUDRA]

Sir my english language is very weak. Can you tell me why you devide 2 all time from 360° with theta's coefficient in r = 3cos 2(theta)or some other sums you have done this videos. But in your other video you don't devide 2 when you drawn the graph of r=3cos(theta) or 3cos 5(theta). It would be better if you clear my doubts.
Thank you!

[mariamalaleemi]

Thank you so much…a very helpful video 👌🏻👏🏻👏🏻👏🏻

[zoestandforgod]

why pick four similar examples, instead of switching it to one with sine function and examples when the number in front of theta is odd

[Loots]

if the number beside the theta determines how many leaves there are then why in "r=cos5(theta)" does that function only have 5 leaves? and not 10?

[ahmedal-ebrashy]

Who is the genius who doesn the thumbnail and how is it done, which program?

[samsonbalakasi]

What if you are given the range of theta....say from 0 to 180°?

[Unknown-lnly]

My favorite part was when you'd begin to form the petals and you could watch it all come together, knowing how it's done

[adileneortega]

Me salvaste, gracias.
Thank you so much. ❤