In trying to figure out the answer to my homework problem, I came across this volume, which I thought the community might find interesting and/or helpful.

I've been knocking out the trig problems in this section with minimal difficulty so far, but I've run straight into a brick wall on this "Algebraic" part. I'm asked to find sin(x)=0 between [0,2π). If I graphed the unit circle this would be a trivial exercise to show sin(θ)=0 when θ=0 or π.

Where I have trouble is- I'm very explicitly being told here that the solution is ALGEBRAIC, and I'm struggling to figure out a way to rearrange sin(x)=0 to come up with the known answer. Further, unit circles are not in this chapter, they wouldn't likely ask me to exercise a skill taught in another chapter. What am I missing?

It's not just 31, either. Looking ahead at eg 37, I can easily show sin(-x) = -sin(x) on a unit circle. I could maybe fuck around with inverse trig ratios but those are in section 3- this is only section 1.

Help me out here, drop a hint, share a link: how do I solve sin(x)=0 on [0,2π), but algebraically? I suspect it's something glaringly obvious and/or very very simple I've overlooked.

I believe I've found a bug. I intermittently go back multiple pages when pressing back button. It frequently happens on youtube, and occasionally happens elsewhere.

In the picture, find my history where I started with the google search for "the chain" (please forgive me for having history from multiple tabs all mixed up). From here I went back and forth with the expected behavior a couple of times looking for the version I remembered. When I found the correct version, I settled in to listen to it in the background for a few songs minutes until it switched to gypsy which wasn't what I wanted to hear. Naturally enough, I went back once- straight from gypsy to the google search, skipping rhiannon and dreams and the chain. This is reflected on the rightclick drop down from the forward button- observe the three intervening pages which are in the history are not in the forward/back list.

In general, I frequently notice this unexpected and unwanted behavior when I go to youtube. I often go to the homepage, select a video, and then try to back to the homepage only to find it take me back to the blank tab, and when I try to forward it takes me to the video without the intervening homepage.

I seem to recall times when I experienced similar behavior, but cannot put a pin in when or where and cannot at this time, despite trying, reproduce it anywhere but youtube. I haven't tried downloading chrome or shudder using edge, mostly because fuck that, but also slightly because I am very lazy.

I also didn't notice this behavior on my laptop which had win10 and firefox (that is, before I switched to linux as a trial over there, but I digress). I tried to search for this error, but google search is terribly corrupt and difficult to get useful results beyond eg song names. I also searched this forum for "back pages" and "back page" and didn't find anything relevant going back a year.

Do I set my computer on fire for its disobedience, or...?

It's homework help, but I'm not asking for the solution. The problem only asks for cos, sin, tan, cot, csc given sec. I found those pretty quickly on my own, and confirmed solutions with the back of the book.

Where I run into confusion is when I try to find angle theta on my own. Arccos of found cos gives 2.06, arcsin of found sin gives 1.08, and arctan of found tan gives -1.08. Problem givens exclude possibility of the negative angle found by arctan(-15/8), but the other two are possible and conflicting. And why wouldn't they all be the same? I reattempted because there were so many erase marks from trying to figure this out that it was almost illegible.

Am I wrong? Did the book give me a point not on the unit circle or something, assuming I wouldn't try to find theta on my own? Have I used arcfuncs wrong- I checked the domains against the function definitions? Have I found a hole in math?

3D prints still suffer from bad layer adhesion due to their 2.5D slicing and printing approach. I investigated if a novel slicing method that interleaves the layer could improve the strength of 3D prints.

Spambots are abusing this fact

.ml admins fix pls

I've recently re-discovered firefox, and have fallen in love with Reader View, but I'm noticing a few problems. Most pages with articles will work just fine, but some refuse to allow reader view, and when you force those pages into reader view it doesn't display the appropriate content.

In today's issue, the website is just happy to allow me to view it in a readable format, but only if I want to read privacy and cookie garbage. How can I select the portion of the page I want to actually read, and tell firefox to ignore whatever bullshit I'm "supposed" to see or whatever?

pic not related

Relevant url: https://www.reuters.com/world/us/police-michigan-city-put-alert-after-wsj-opinion-piece-2024-02-04/

I'm looking for a full-featured, lightweight Pomodoro timer. Not having much luck in the app store for various reasons. Some only have 25/5 cycles (My ideal is 50/10 and I need to work up to that), another wouldn't work with my headphones, another wouldn't alarm until the screen was turned on(???). At this point it's just easier to use my default phone's timer, but that's less than ideal since I have to manually set and adjust the timer and the whole point is to get into an uninterrupted flow for 2-4 hours at a stretch.

I'm predicting a FOSS alternative to that paid/freeby garbage will have the features i need with no bullshit on top. Help?