If you have any math discovery or fun problem that you want me to present in a video, please leave it here (with solutions hopefully). I will try my best to make it into a video for you and will credit you in the video.

Sir, I have this new Idea what if you have trigonometric ratios to a base i.e. sin 90 to base π is 1 ? I'm working on it and I named it Trigology. Sir, I want you to help me out.

Can you please explain why we add "2kpi" when finding complex roots? And also show the roots on the Argand diagram, giving us a detailed explanation? Thanks.

Can’t you just solve it graphically? Set theta equal to your equation, which is in terms of theta, in a graphing calculator (unless you are not allowed to use a calculator)

Sir, I have this new Idea what if you have trigonometric ratios to a base i.e. sin 90 to base π is 1 ? I'm working on it and I named it Trigology. Sir, I want you to help me out.

Ok! Thanks! I will be interested to take a look.

@blackpenredpen okay sir, will you make a video on it ?

Can you please explain why we add "2kpi" when finding complex roots? And also show the roots on the Argand diagram, giving us a detailed explanation? Thanks.

Hi,

Can you please solve the question in the image?

Can’t you just solve it graphically? Set theta equal to your equation, which is in terms of theta, in a graphing calculator (unless you are not allowed to use a calculator)

This is a question from a JEE Advanced paper.

Another thing, does this site have a glitch? Because the typed text is shown in wrong order.

I just wrote up a solution :) Here's a link to the pdf file:

https://drive.google.com/file/d/1U3MJz4kklkZjAqbl6pbKg5w0bJ1wqqhr/view?usp=sharing